BACK
Publications of Yury Neretin
1. Books
1. Categories of symmetries and
infinite-dimensional groups.
London Mathematical Society Monographs.
New Series, 16. Oxford Science Publications.
The Clarendon Press, Oxford University Press, New York, 1996. xiv+417,
ISBN-13: 978-0198511861; ISBN-10: 0198511868;
2. Lectures of Gaussian integral operators and classical groups.
European Mathematical Society, EMS Series of Lectures in Mathematics (2011).
ISBN print 978-3-03719-080-7, ISBN online 978-3-03719-580-2,
DOI 10.4171/080
3.
Moscow seminar in Mathematical Physics, collection of papers,
Translations of American Mathematical Society, Series 2, 221,
eds. Neretin, Yu.A., Olshanetsky, M.A., Rosly, A. 2007, Print ISBN: 978-0-8218-4371-0,
Electronic ISBN: 978-1-4704-3431-1
4. The time of Luzin. The born of Moscow mathematical school. The Soviet mathematics in the context
of
social upheavals of 1920-30s. (Russian) Editorial URSS, Per aspera ad astra, 53 (2021), ISBN 978-5-9710-7715-2.
5. Beloshapka V.K., Bogachev V.I., Borodin P.A., Domrin A.B., Kashin B.S., Neretin Yu.A., Paramonov P.V., Protasov V.Yu., Ryzhikov V.V..
Sorokin V.N., Fedorovskii K.Yu, Khelemskii A.Ya., Sheipak I.A., Shkalikov A.A.
Function theory and functional analysis. Lectures for postgraduate students, Moscow State University, 2023.
ISBN: 978-5-19-011784-4.
2. Theses
Unitary highest weight representations of Virasoro algebra
Ph.D. Moscow State University, 1983
Categories enveloping infinite-dimensional groups and representations of category of Riemannian surfaces.
Thesis, Russian doctoral degree (Habilitation), Steklov insitute, 1992
3. List of published research papers
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Differential operators on Lie groups.
(Russian) Uspekhi Mat. Nauk 36 (1981), no. 2(218), 195--196 ;
translation in Russ.Math.Surveys,
1981, 36:2, 187--188
DOI ,
scan ,
Russian.
-
Complementary series of representations
of a group of diffeomorphisms
of the circle.
(Russian) Uspekhi Mat. Nauk 37 (1982), no. 2(224), 213--214.
; translation in Russ.Math.Surveys,
v. 37 (1982),289-230
DOI ,
Russian.
-
Unitary representations with a highest
weight of a group of
diffeomorphisms of a circle.
(Russian) Funktsional. Anal. i Prilozhen. 17 (1983), no. 3, 85--86
; translation in Funct.Anal.Appl., 1983, 17:3, 235--237
DOI ,
scan ,
Russian.
-
Boson representation of the circle
diffeomorphism group.
(Russian) Dokl. Akad. Nauk SSSR 272 (1983), no. 3, 528--531;
translation in Sov.Math.Dokl., v.28(1983), 411-414.
Russian.
-
Unitary representations of the groups of
diffeomorphisms of the
$p$-adic projective line.
(Russian)Funktsional. Anal. Prilozhen. 18 (1984), no. 4,
92--93; translation in Funct.Anal.Appl.,1984, 18:4, 345--346
DOI ,
scan ,
Russian.
-
(joint with Kirillov A.A.)
The variety $A_n$ of structures of $n$-dimensional Lie
algebras.
(Russian) in Some problems in modern analysis (in the memorz of V.M.Alekseev) (eds. Magaril-Il'yaev, G. G.; Tikhomirov, V. M.)
42--56, Moskov. Gos. Univ., Mekh.-Mat. Fak., Moscow, 1984.
English translation in: Fourteen papers translated from the Russian,
AMS Translations, 137 (1987) 21-30
DOI ,
scan .
-
Discrete occurrences of representations of
the complementary series in
tensor products of unitary representations.
(Russian) Funktsional. Anal. i Prilozhen. 20 (1986),
no. 1, 79--80; translation in Funct.Anal.Appl., v.20(1986),68-70
DOI ,
scan ,
Russian.
-
On the spinor representation
of $O(\infty,C)$.
(Russian) Dokl. Akad. Nauk SSSR 289 (1986), no. 2, 282--285
; translation in Sov.Math.Dokl., v.34(1987), 71-74.
scan ,
Russian.
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An estimate for the number of parameters defining an $n$-dimensional
algebra.
(Russian) Izv. Akad. Nauk SSSR Ser. Mat. 51 (1987),
no. 2, 306--318, 447; Math. USSR-Izv. 30 (1988), no. 2, 283--294
DOI ,
scan ,
Russian.
-
On a complex semigroup containing the group of
diffeomorphisms of the
circle.
(Russian) Funktsional. Anal. i Prilozhen. 21 (1987), no. 2, 82--83;
translation in Funct.Anal.Appl., 21 (1987), 160-161
DOI ,
scan ,
Russian.
-
Almost invariant structures and constructions of
unitary
representations of the group of diffeomorphisms of the circle.
(Russian) Dokl. Akad. Nauk SSSR 294 (1987), no. 1, 37--41.
; translation in Sov.Math.Dokl., v.35(1987), 71-74
scan ,
Russian.
-
Tensor products of unitary representations of
$SL_3(R)$.
(Russian) Ukrain. Mat. Zh. 40 (1988), no. 2, 240--241, 272;
translation in Ukrainian Math. J.40 (1988), no. 2, 207--208
DOI ,
scan 1 ,
scan 2 (Russian).
-
Holomorphic continuations of
representations of the group of
diffeomorphisms of the circle.
(Russian) Mat. Sbornik 180 (1989), no. 5, 635--657, 720
; translation in; Russ.Acad.Sci. Sbornik.math., 1990, 67:1, 75--97
DOI ,
scan ,
Russian.
-
(joint with Nazarov, Maxime and Olshanskii, Grigorii)
Semi-groupes engendres par la representation de Weil du groupe
symplectique de dimension infinie.
(French) [Semigroups generated by the Weil representation of the
infinite-dimensional symplectic group] C. R. Acad. Sci. Paris Math.
309 (1989), no. 7, 443--446.
scan ,
-
Spinor representation of an
infinite-dimensional orthogonal semigroup
and the Virasoro algebra.
(Russian) Funktsional. Anal. i Prilozhen. 23 (1989), no. 3, 32--44, 96;
translation in Functional Anal. Appl. 23 (1989), no. 3, 196--207 (1990)
DOI ,
scan ,
Russian.
-
Almost invariant structures and related
representations of the
diffeomorphism group of a circle. in
Representation of Lie groups and related topics,
eds. D.P. Zhelobenko, A.M.Vershik,
245--267, Adv. Stud. Contemp. Math., 7, Gordon and Breach, New York, 1990.
In google-book .
-
On operators that connect the holomorphic
representations of different
groups.
(Russian) Dokl. Akad. Nauk SSSR 312 (1990), no. 6, 1318--1321;
translation in Soviet Math. Dokl. 41 (1990), no. 3, 547--550 (1991)
Russian.
-
On a semigroup of operators in the boson
Fock space.
(Russian) Funktsional. Anal. i Prilozhen. 24 (1990), no. 2, 63--73, 96;
translation in Functional Anal. Appl. 24 (1990), no. 2, 135--144
DOI ,
scan ,
Russian.
-
Infinite-dimensional groups, their mantles,
trains, and
representations.
in Topics in representation theory (ed. A.A.Kirillov)
103--171, Adv. Soviet Math., 2, Amer. Math. Soc., Providence, RI, 1991.
In e-book .
-
Extension of representations of classical
groups to representations of
categories.
(Russian) Algebra i Analiz 3 (1991), no. 1, 176--202
; translation in St-Peterburg Math.J, 1992, v.3, 147-170.
scan ,
Russian.
-
Categories of bistochastic measures
and representations of some
infinite-dimensional groups.
(Russian) Mat. Sbornik 183 (1992), no. 2, 52--76;
translation in Russian Acad. Sci. Sbornik Math. 75 (1993),
no. 1, 197--219
DOI ,
scan ,
Russian.
-
Universal completions of complex classical groups.
(Russian) Funktsional. Anal. i Prilozhen. 26(1992), no. 4, 30--44, 96;
translation in Functional Anal. Appl. 26 (1992), no. 4, 254--265 (1993)
DOI ,
scan ,
Russian.
-
Combinatorial analogues of the group of
diffeomorphisms of the
circle.
(Russian) Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), no. 5, 1072--1085;
translation in Russian Acad. Sci. Izv. Math. 41 (1993), no. 2, 337--349
DOI ,
scan ,
Russian.
-
Mantles, trains and representations of
infinite-dimensional
groups.
First European Congress of Mathematics, Vol. II (Paris, 1992),
293--310, Progr. Math., 120, Birkhauser, Basel, 1994.
scan
-
Some remarks on quasi-invariant actions of loop
groups and the group of
diffeomorphisms of the circle.
Comm. Math. Phys. 164 (1994), no. 3, 599--626.
DOI ,
scan
-
(joint with Olshanskii, G. I.)
Boundary values of holomorphic
functions, singular unitary
representations of the groups ${\rm O}(p,q)$ and their limits as
$q\to\infty$.
(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI)223 (1995), Teor. Predstav. Din. Sistemy, Kombin. i Algoritm.
Metody. I, 9--91, 337; translation in J.Math.Sci (New York) 1997, 87:6, 3983--4035
DOI ,
scan ,
Russian.
-
Integral operators with Gaussian kernels and
symmetries of canonical
commutation relations.
'Contemporary mathematical physics'. F. A. Berezin memorial volume, eds. R. L. Dobrushin, R. A. Minlos, M. A. Shubin and A. M. Vershik
97--135, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence,
RI, 1996.
scan .
-
The group of diffeomorphisms of a half-line,
and random Cantor
sets.
(Russian) Mat. Sbornik 187 (1996), no. 6, 73--84; translation in
Russian Acad. Sci. Sbornik Math. 1996, 187:6, 857--868
DOI ,
scan ,
Russian.
-
The Hausdorff metric, construction of a
separable quotient space, and
boundaries of symmetric spaces.
(Russian) Funktsional. Anal. i Prilozhen.(1997), no. 1, 83--86;
translation in Funct. Anal. Appl., 1997, 31:1, 65--67
DOI ,
scan ,
Russian.
-
Hinges and
Study-Semple-Satake-Furstenberg-De Concini-
Procesi boundary
in 'Kirillov's Seminar on representation theory'. ed. G.Olshanski
AMS Translations, v.181, 1997, 165--230
scan
-
On correspondence between
the space $L^2$ over Poisson measure and bosonic Fock space
Mat.Sbornik, 1997, 11, 19--50; translation in
Russian Acad. Sci. Sbornik Math. 188, 11, 1587--1616
DOI ,
scan ,
Russian.
-
Fractional diffusions and quasiinvariant actions
of infinite dimensional groups.
Trudy MIRAN (Russian), v.217, 126--173
: English translation
in Transactions of Steklov Mathematical Institute, v.217, 1997
scan ,
Russian.
-
Boundary values of holomorphic functions and discrete spectra
in noncommutative harmonic analysis,
Proceedings of School 'Analysis on homogeneous spaces',
Tambov, 1996; publilshed in 'Vestnik Tambovskogo Universiteta', 1997 (English)
cyberleninka ,
.ps .
-
Restriction of function which is holomorphic in
a domain to a curve lying in the boundary and
discrete $SL_2(R)$-spectra.
Izv. Ross. Akad. Nauk Ser. Mat. 62 (1998), no. 3, 67--86;
translation in Izv. Math. 62 (1998), no. 3, 493--513
DOI ,
scan ,
Russian.
-
Supercomplete bases in the space of symmetric
functions. Funkts.Anal i prilozh., (1998), no. 1,12--28, 96; translation in
Funct. Anal. Appl. 32 (1998), no. 1, 10--22
DOI ,
scan ,
Russian.
-
Krein--Schmullian generalized fractional linear maps
and conformal geometry of symmetric spaces
Mat.Sbornik,
90
(1999), no. 2,93--122 translation in Sb. Math. 190 (1999),
no. 1-2, 255--283
DOI ,
scan ,
Russian.
-
Boundary values of holomorphic functions and some
spectral problems for unitary representations.
In collection
J.Hilgert, J.D.Lawson, K.-H.Neeb, E.B.,Vinberg (eds.)
'Positivity in Lie groups', W. de Gruiter, 1998, pp.221--248
DOI ,
arXiv,
-
A remark on boson-fermion correspondence
Reports of Math.Phys, 1999, 43 (1999), no. 1-2, 267--269.
DOI ,
arXiv.
-
Notes on affine isometric actions of discrete groups
in ' Analysis on infinite dimensional groups and algebras.'
eds. H.Heyer, J.Marion, World scientific, 1999, pp. 274--320.
arXiv
-
Pseudoriemannian symmetric spaces: uniform
realizations and open embeddings to Grassmanians
Zap.Nauchn. Seminar.
PO MIRAN, 1999(Russian); English translation in J. Math.Sci (N.Y),
2001, 107:5, 4248--4264)
DOI ,
arXiv,
Russian.
-
Matrix analogs of B-functions and Plancherel formula
for Berezin kernels
Sbornik. Math.
191, 200, 683--715;
translation in Sb. Math., 191:5 (2000), 683-715
DOI ,
arXiv,
Russian.
-
On the separation of spectra in the analysis of Berezin kernels.
(Russian) Funktsional. Anal. i Prilozhen. 34 (2000), no. 3, 49--62, 96; translation in Funct. Anal.
Appl. 34 (2000), no. 3, 197--207
DOI ,
arXiv,
Russian.
-
On Jordan angles and the triangle inequality
in Grassmann manifolds.
Geom. Dedicata 86 (2001), no. 1-3, 81--92.
DOI ,
arXiv.
-
Matrix balls, radial analysis of Berezin kernels, and
hypergeometric determinants. Mosc. Math. J. 1 (2001), no. 2, 157--220, 303.
DOI ,
arXiv.
-
Plancherel formula for Berezin deformation
of $L^2$ on Riemannian symmetric space. J. Funct. Anal. 189 (2002), no. 2, 336--408.
DOI ,
arXiv,
-
Index hypergeometric transformation and an imitation of
analysis of Berezin kernels on hyperbolic spaces
Mat. Sb., 192, No. 3, 83--114 (2001);
English translation in Russian Acad. Sci. Sb. Math., 192, 403--432.
DOI ,
arXiv,
Russian.
-
Hua-type integrals over unitary groups
and over projective limits of unitary groups.
Duke Math. J. 114 (2002), no. 2, 239--266
DOI ,
arXiv,
-
Beta integrals and finite orthogonal systems of Wilson
polynomials.
(Russian) Mat. Sb. 193 (2002), no. 7, 131--148; translation in Sb. Math.
193 (2002), no. 7-8, 1071--1089
DOI ,
arXiv,
Russian.
-
Spreading maps (polymorphisms),
symmetries of Poisson processes, and matching summation.
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 292 (2002), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 7, 62--91, 178--179.
Reprinted in J. Math. Sci. (N. Y.) 126 (2005), no. 2, 1077-1094
DOI ,
arXiv,
site of journal.
-
The action of an overalgebra in the Plancherel decomposition and
shift operators in an imaginary direction.
Izv. Ross. Akad. Nauk Ser. Mat.
66(2002), no. 5, 171--182; translation in Izv. Math. 66 (2002), no. 5, 1035--1046
( arXiv,
Russian ,
DOI )
-
A construction of finite-dimensional
faithful representation of Lie
algebra.
Proceedings of the 22nd Winter School "Geometry and Physics" (Srni, 2002).
Rend.
Circ. Mat. Palermo (2) Suppl. No. 71 (2003), 159--161.
arXiv ,
journal
-
Groups of hierarchomorphisms
of trees and related Hilbert spaces.
J. Funct. Anal. 200 (2003), no. 2, 505--535.
DOI ,
arXiv,
-
Geometry of $GL_n(C)$ at infinity: hinges, complete collineations,
projective compactifications, and universal boundary.
in
'The orbit method in geometry and physics (Marseille, 2000)',
ed. C. Duval, L. Guieu and V. Ovsienko.
297--327,
DOI ,
arXiv,
-
Rayleigh triangles and nonmatrix interpolation of matrix beta integrals.
Mat.
Sb. 194 (2003), no. 4, 49--74; translation in Sb. Math. 194 (2003), no. 3-4, 515--540
DOI ,
arXiv,
Russian
-
. Pencils of geodesics in symmetric spaces, Karpelevich
boundary,and associahedron-like polyhedra. in Lie groups and symmetric spaces. In memory of F. I. Karpelevich. ,
ed S.Gindikin, 225--255,
Amer. Math. Soc. Transl. Ser. 2, 210, Amer. Math. Soc., Providence, RI, 2003.
DOI ,
arXiv,
-
The beta function of the Bruhat-Tits building and the deformation of the space $l\sp 2$ on the set of $p$-adic lattices.
Mat. Sb. 194 (2003), no. 12, 31--62; translation in Sb. Math. 194 (2003), no.
11-12,1775--1805
DOI ,
arXiv,
Russian
-
Structures of boson and fermion Fock spaces
in the space of symmetric functions.
Acta Appl. Math. 81 (2004), no. 1-3, 233--268.
DOI ,
arXiv
-
(joint with Foth, T.)
Zak transform, Weil representation,
and integral operators with theta-kernels.
Int. Math. Res. Not. 2004, no. 43, 2305--2327.
arXiv,
DOI
-
Some continuous analogs of expansions in Jacobi polynomials
and vector valued hypergeometric orthogonal bases
Funct. Anal. Appl., 2005, 39:2, 106-119
DOI ,
arXiv,
Russian
-
On compression of Bruhat-Tits buildings,
Zap. Nauchn. Seminar. POMI RAN, 325(2005), 163--170
; translation in J. Math. Sci. (N. Y.) 138 (2006), no. 3, 5722-5726
DOI ,
arXiv,
Russian
-
Stable densities
and operators of fractional differentiation, in
Representation theory, dynamical systems, and asymptotic combinatorics, eds/ V. Kaimanovich, A. Lodkin,
117-137, Amer. Math. Soc. Transl. Ser. 2, 217, Amer. Math. Soc., Providence, RI, 2006.
DOI ,
arXiv
-
Fractional diffussions, group of diffeomorphisms
of circle and loop groups. in Seminar GLOBUS,
eds. M.Tsfasman, V.Prasolov, 2005 (Russian),
64--81
here
-
Perturbation of Jacobi polynomials and piesewise hypergeometric
orthogonal systems
Mat.Sbornik 51--78 (Russian); English transl.:
Sbornik, Mathematics, 2006, v.197, N 11, 1607--1633
DOI ,
arXiv,
Russian
-
Central extensions of groups of symplectomorphisms,
Moscow Math.J.,
V. 6 (2006), Number 4, 703--729,
DOI ,
arXiv
-
Perelomov problem and inversion of Segal--Bargmann transform.
Funct. Anal. Appl., 2006, N 4, 330--333
DOI ,
arXiv,
Russian
-
Stein--Sahi representations and some problems of
harmonic analysis,
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 331 (2006),
125--169; translation in
Journal of Mathematical Sciences (New York), 2007, 141:4, 1452-1478
DOI ,
arXiv,
Russian
-
Airault, H.; Neretin, Yuri A.
On the action of Virasoro algebra on the space of univalent functions.
Bull. Sci. Math. 132, No. 1, 27-39 (2008)
DOI ,
arXiv
-
On adelic model of boson Fock space. in
Neretin, Yu., Olshanetsky, M., Rosly A.(eds.), Moscow Seminar in mathematical physics, II. Providence, RI:
American Mathematical Society (AMS). Translations. Series 2. American Mathematical Society 221.
Advances in the Mathematical Sciences 60, 193-202 (2007).
DOI ,
arXiv.
-
Determinantal point processes and fermionic Fock space. in
Neretin, Yu., Olshanetsky, M., Rosly A.(eds.), Moscow Seminar in mathematical physics, II. Providence, RI:
American Mathematical Society (AMS). Translations. Series 2. American Mathematical Society 221.
Advances in the Mathematical Sciences 60, 185-191 (2007)
DOI ,
arXiv.
-
Matrix elements of irreducible Harish-Chandra modules are hypergeometric.
Funktsional. Anal. i Prilozhen. 41 (2007), no. 4, 60--69, 96; translation in Funct. Anal. Appl. 41 (2007), no. 4, 295-302
DOI ,
paper,
Russian
-
Ramified integrals, Casselman phenomenon, and holomorphic continuations of group representations. in Analysis and mathematical physics
(eds. B. Gustafsson, A. Vasil'ev), 427-439, Trends Math., Birkhauser, Basel, 2009.
DOI ,
arXiv.
-
Beta-function of tube of the light cone
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 378 (2010),
Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 73-80; reprinted in J. Math. Sci. (N. Y.), 174:1 (2011), 36-40
DOI ,
arXiv,
Russian
-
On spherical functions on the group ${\rm SU}(2)\times{\rm SU}(2)\times{\rm SU}(2)$. Funktsional. Anal. i Prilozhen. 44 (2010), no. 1, 59--67; translation in Funct. Anal. Appl. 44 (2010), no. 1, 48-54
(arXiv,
DOI ,
arXiv,
Russian
-
Double cosets for $\SU(2)\times...\times\SU(2)$
and outer automorphisms of free groups Int. Math. Res. Notices, 2011, 9, 2047--2067.
arXiv,
DOI)
-
Infinite tri-symmetric group, multiplication
of double cosets, and checker topological field theories.
Int Math Res Notices (2012) 2012, no. 3, 501--523.
(arXiv,
DOI)
-
Spectral data for pairs of matrices of order 3 and action
of the group $GL(2,Z)$ Izv. RAN. Ser. Mat., 75:5 (2011), 93-102; Izv. Math., 75:5 (2011), 959-969
DOI ,
arXiv,
Russian
-
Sphericity and multiplication of double cosets for infinite-dimensional
classical groups. Funct. Anal. Appl., 45:3 (2011), 225-239; translation in
Funct. Anal. Appl., 2011, 45:3, 225-239
DOI ,
arXiv,
Russian
-
Stein--Sahi complementary series and their degenerations
In Representation theory, complex analysis, and integral geometry (eds. B. Krotz, O.Offen and E. Sayag), 133-183, Birkhauser/Springer, New York, 2012.
DOI ,
arXiv.
-
Multi-operator colligations and multivariate characteristic functions
Analysis and Mathematical Physics, 1 (2011), no. 2-3, 121-138.
(arXiv,
DOI)
-
Symmetries of Gaussian measures and operator colligations
J. Funct. Anal. 263 (2012), no. 3, 782-802
(arXiv,
DOI)
-
A remark on representations of infinite symmetric groups
Zap. Nauchn.Semin.POMI
DOI ,
arXiv,
Russian
-
On topologies on Malcev completions of braid groups
Moscow Mathematical Journal, 2012, v.12, N4, pp. 803-824
DOI ,
arXiv.
-
Index hypergeometric integral transform Preprint, Russian version
is published as an addendum to Russian edition of G.E.Andrews, R.Askey, and R.Roy "Special functions", MCCME, Moscow, 2013, 607-624
arXiv,
Russian
-
On the boundary of the group of transformations
leaving a measure quasi-invariant", Mat. Sb., 204:8 (2013), 83-116; Sb. Math., 204:8 (2013), 1161-1194
DOI ,
arXiv,
Russian
-
Difference Sturm--Liouville problems in the imaginary direction
J. Spectral theory, V 3 (2013), № 3, p. 237-269
DOI
(arXiv
-
Hua measures on the space of $p$-adic matrices and inverse limits of Grassmannians ,
Izv. RAN. Ser. Mat., 77:5 (2013), 95-108; Izv. Math., 77:5 (2013), 941-953
DOI ,
arXiv,
Russian
-
(with D. V. Alekseevsky, P. W. Michor)
Rolling of Coxeter polyhedra along mirrors
in Geometric methods in physics. Papers from the XXXI Workshop (WGMP) held in Bialowieza, June 24-30, 2012. Edited by P. Kielanowski, S. T. Ali, A. Odesskii, A. Odzijewicz, M. Schlichenmaier, Th. Voronov. Trends in Mathematics. Birkhauser/Springer, Basel, 2013, pp 67-86.
DOI ,
arXiv
-
The space $L^2$ on semi-infinite Grassmannian over finite field
Adv. Math. 250 (2014), 320-350.
DOI
arXiv
-
(with G. Marmo, P. W. Michor)
The Lagrangian Radon Transform and the Weil representation
J.Fourier Anal. Appl., 2014
DOI
(arXiv )
-
On an infinite-dimensional limit of the Steinberg representations.
Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 126-132; J. Math. Sci. (N. Y.), 200:6 (2014), 718-721
DOI ,
arXiv,
English
-
Biinvariant functions on the group of transformations leaving a measure quasiinvariant,
Mat. Sb., 205:9 (2014), 145-160; Sb. Math., 205:9 (2014), 1357-1372
DOI ,
arXiv,
Russian.
-
Hua type beta-integrals and projective systems of measures on flag spaces
IMRN, 2015, no. 21 (2015), 11289-11301, doi: 10.1093/imrn/rnv031
DOI ,
arXiv
-
Infinite-dimensional $p$-adic groups, semigroups of double cosets, and inner functions on Bruhat--Tits builldings,
Izv. RAN. Ser. Mat., 79:3 (2015), 87-130; Izv. Math., 79:3 (2015), 512-553.
DOI ,
arXiv,
Russian
-
Infinite symmetric groups and combinatorial constructions of topological field theory type,
Uspekhi Mat. Nauk, 70:4(424) (2015), 143-204; Russian Math. Surveys, 70:4 (2015), 715-773
DOI ,
arXiv,
Russian
-
Matrix beta-integrals: an overview in
Geometric methods in physics. Proceedings of the XXXIII Workshop (WGMP) held in Bialowieza, June 29-July 5, 2014 (eds. P. Kielanowski, P. Bieliavsky,
A. Odzijiewicz, M. Schlichenmaier, Th. Voronov). Trends in Mathematics. Birkhauser/Springer, Cham, 2015, pp. 257-272
DOI ,
arXiv
https://arxiv.org/abs/1411.2110
-
On sphericity of the subgroup $PSL(2,R)$ in the group of diffeomorphisms of the circle.
Funktsional. Anal. i Prilozhen., 50:2 (2016), 91-94; Funct. Anal. Appl., 50:2 (2016), 160-162
DOI ,
arXiv,
Russian
-
Several remarks on groups of automorphisms of free groups, Zapiski Nauchn. Semin. POMI, 2015, v.436, 189-198; Journal of Mathematical Sciences (New York), 2016, 215:6, 748-754
DOI ,
arXiv,
Russian
-
On $p$-adic colligations and 'rational maps' of Bruhat-Tits trees
in
Geometric methods in physics. Papers based on the XXXIV Workshop (WGMP) held in Bialowieza, June 28-July 4, 2015.
(eds. P. Kielanowski, S. T. Ali, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, Th. Voronov), Trends in Mathematics. Birkhauser/Springer, [Cham], 2016,
p.139-158
DOI ,
arXiv.
-
Wishart--Pickrell distributions and closures of group actions
Zapiski nauchn. semin. POMI RAN, v. 448, p. 236-245 (Russian); English version in J.Math,Sci. (N-Y), 224:2 (2017), 328-334
DOI ,
arXiv,
Russian
-
Radial parts of Haar measures and probability distributions on the space of rational matrix-valued functions
Izvestiya: Mathematics, 2016, 80:6, 1118-1130
DOI ,
arXiv,
Russian
-
Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument
Funktsional. Anal. i Prilozhen., 51:2 (2017), 25-41; translation in
Funct. Anal. Appl., 51, 2, 2017, 98-111
DOI ,
arXiv,
Russian
-
The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions
Journal of geometric mechanics, v.9, 2 (2017), 207-225
DOI ,
arXiv
-
Projectors separating spectra for $L^2$ on pseudounitary groups $U(p,q)$
International Mathematics Research Notices,
Volume 2019, Issue 17, September 2019, Pages 5256-5283
DOI ,
arXiv.
-
(with A. A. Gaifullin) 102.
Infinite symmetric group and bordisms of pseudomanifolds
Journal of Topology and Analysis, 2017,
DOI ,
arXiv, paper
-
The Fourier transform on the group $GL_2(R)$ and the action of the overalgebra $\mathfrak{gl}_4$
Journal of Fourier Analysis and Applications, v. 25, p.488-505 (2019)
DOI ,
arXiv
-
(with L. Funar)
Diffeomorphisms groups of Cantor sets and Thompson-type groups
Compos. math., 154 (2018), no. 5, 1066-1110.
DOI ,
arXiv
-
Combinatorial encoding of infinite symmetric groups and description of semigroups of double cosets
Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 65-92; J. Math. Sci. (N. Y.), 232:2 (2018), 138-156
DOI ,
English
-
Restriction of representations of $GL(n+1,C)$ to $GL(n,C)$ and action of the Lie overalgebra
Algebras and representation theory 21 (2018), no. 5, 1087-1117.
DOI ,
arXiv
-
Operational calculus for Fourier transform on the group $GL(2,R)$
Funktsional. Anal. i Prilozhen., 52:3 (2018), 42-52; translation in Funct. Anal. Appl., 2017
DOI ,
arXiv,
Russian
-
On the group of infinite $p$-adic matrices with integer elements
Zapiski nauchn. semin. POMI RAN, v. 468, 2018, 105-125 (Journal of Mathematical Science,
August 2019, Volume 240, Issue 5, pp 572-586).
DOI ,
arXiv,
English
-
After Plancherel formula.
In Geometric Methods in Physics. XXXVI Workshop and Summer School,
Bialowieza, Poland, 2017. Editors: Kielanowski, P., Odzijewicz, A., Previato, E., Trends Math,, 389-401, Birkhauser, 2019.
DOI ,
arXiv
-
A remark on nilpotent Lie algebras that do no admit gradings
Zap. Nauchn. Sem. POMI, 481 (2019);
Journal of Mathematical Sciences, 247, 711-722(2020).
DOI ,
paper .
-
An analog of the Dougall formula and of the de Branges--Wilson integral
Ramanujan Journal, 54 (2021), no. 1, 93-106.
DOI ,
arXiv,
-
Barnes-Ismagilov integrals and hypergeometric functions of the complex field
SIGMA, 2020, Volume 16, 072, 20 pages
DOI ,
arXiv,
-
Fourier transform on the Lobachevsky plane and operational calculus
Funktsional. Anal. i Prilozhen., 54:4 (2020), 64-73; translation in
Funct. Anal. Applications, v 54,4 (2020), 278-286
DOI ,
arXiv ,
Russian.
-
Polyhomomorphisms of locally compact groups
Mat. Sb., 212:2 (2021), 53-80; translation in
Sb. Math., 212:2 (2021), 185-210
DOI ,
arXiv ,
Russian.
-
On the group of spheromorphisms of the homogeneous non-locally finite tree
131-164; translation in
Izv. Math., 84:6 (2020), 1161-1191
DOI ,
arXiv ,
Russian.
-
(with V.F. Molchanov) A pair of commuting hypergeometric operators on the complex plane and bispectrality
J. Spectr. Theory 11 (2021), no. 2, 509-586,
DOI ,
arXiv,
-
On double cosets of groups GL(n) with respect to subgroups of block strictly triangular matrices
Linear and Multilinear Algebra, DOI:10.1080/03081087.2021.1892023
DOI ,
arXiv,
-
Groups $GL(\infty)$ over finite fields and multiplications of double cosets
J. Algebra 585 (2021), 370-421,
DOI ,
arXiv,
-
Description of unitary representations of the group of infinite $p$-adic integer matrices,
Represent. Theory 25 (2021), 606-643,
DOI
arXiv.
-
On spherical unitary representations of groups of spheromorphisms of Bruhat--Tits trees.
Groups Geom. Dyn. 15 (2021), no. 3, 801-824.
DOI,
arXiv,
-
On a $\mathbb C^2$-valued integral index transform and bilateral hypergeometric series
Integral transforms and special functions, 33 (2022), no. 10, 827–845.
DOI:10.1080/10652469.2022.2050721, arXiv
-
Inner functions of matrix argument and conjugacy classes in unitary groups.
Sb. Math., 213:8 (2022), 1041-1057.
DOI: https://doi.org/10.4213/sm9673, arXiv
-
Symmetric groups and checker triangulated surfaces
In
Teichmuller Theory and Grothendieck-Teichmuller Theory (eds. Lizhen Ji, Athanase Papadopoulos, Weixu Su), 169-190, Higher Education Press, China, 2022,
ISBN 978-7-04-057638-2
Preprint version:
https://arxiv.org/abs/1710.11565
-
On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups
Mathematical Notes, 2023, 114: 4, 583-592.
arXiv
-
On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
Ramanujan Journal, Volume 64, 37-55, (2024) DOI:10.1007/s11139-023-00804-3. Preprint version:
https://arxiv.org/abs/2212.09112
-
Gauss--Berezin integral operators, spinors over supergroup $OSp(2p|2q)$,
and Lagrangian super-Grassmannian In Symmetry in geometry and analysis, eds. M.Pevzner, H.Sekiguchi, Springer, to appear.
Preprint version:
https://arxiv.org/abs/0707.0570
-
On Derkachov--Manashov $R$-matrices for the principal series of unitary representations,
J. Math. Phys.,
65, 051701 (2024), https://doi.org/10.1063/5.0175714,
Preprint version,
https://arxiv.org/abs/2306.08389
-
On the group of homeomorphisms of the Basilica, Topology Proceedings, Volume 64 (2024), 121-128.
https://arxiv.org/abs/2303.11482
-
Non-singular actions of infinite-dimensional groups and polymorphisms
, Mosc. Math. J., 24, (2024) 3, 407-425.
DOI: 10.17323/1609-4514-2024-24-3-407-425
https://arxiv.org/abs/2301.01736
-
Symmetric groups and checker triangulated surfaces
Mosc. Math. J.,
https://arxiv.org/abs/1710.11565, DOI:
https://doi.org/10.17323/1609-4514-2024-24-2-201-217
4. Submitted papers and preprints
5. Preprints that were not published as papers
6.
Essays about outstanding mathematicans
-
(joint with S. M. Khoroshkin) Mathematical works of D.P. Zhelobenko.
Uspekhi Mat. Nauk 64 (2009), no. 1(385), 178--188; translation in Russian Math. Surveys 64 (2009), no. 1, 187-198
DOI ,
http://arxiv.org/abs/0901.4076 ,
Russian.
-
'Method of second quatization of Berezin'. View 40 years after.
Published in "Recollections about Felix Aleksandovich Berezin, discoverer of supersymmetries",
Moscow, MCCME publishers, 2008, 58-110;
French translation
in C.Anne, V.Roubtsov, Les "supermathematiques" et F. A. Berezin, Societe Mathematique de France (France),
2018, 15-58
Russian,
http://hal.archives-ouvertes.fr/docs/00/47/84/76/PDF/neretin.pdf,translated by C. Roger with O. Kravchenko, D. Millionshchikov and A. Kosyak.
-
Felix Alexandrovich Berezin and his work. Joint with A. Karabegov and Th. Voronov,
in
Geometric methods in physics. Papers from the XXX Workshop held in Bialowieza, June 26-July 2, 2011.
(eds. P. Kielanowski, S. Twareque Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov. Trends in Mathematics. Birkhauser/Springer, Basel, 2013,
p. 3-34
DOI ,
http://arxiv.org/abs/1202.3930.
-
Nikolay Luzin, his students, adversaries, and defenders (notes on the history of Moscow mathematics, 1914-1936)
https://arxiv.org/abs/1710.10688
An extended version is published as a book The time of Luzin. The born of Moscow mathematical school. Soviet mathematics in the context of
social upheavals of 1920--1930s. Editorial URSS, 2021; ISBN 978-5-9710-7715-2.
-
Nikolay Konstantinov and the Konstantinov System
Matematicheskoe obrazovanie [Mathematical education], 2021, 3 (99),
arXiv
Preliminary version:
Konstatinov Nikolay Nikolaevich (1932-2021)
text
for the site of White Sea Biological station of Moscow State University, 07.07.2021
-
The double gamma function and Vladimir Alekseevsky ,
Preprint https://arxiv.org/abs/2402.07740
-
Problems on mathematical analysis. (Russian),
Edition of Moscow Institute of Electronics and Mathematics,
15pp., 1996
-
Incredible coincidences and Morozov--Fomenko
problem on historical folds.
(Russian),
Matematicheskoe obrazovanie (Mathematical education), 2002, no. 2(21), 66-95 (Russian)
(here)
-
Snow-ball technology in education,
Matematicheskoe obrazovanie (Mathematical education), 2007, no. 1(41), 45-48 (Russian)
(here)
-
Unified state examination in Russia: influence and evolution.
(Russian), Nauka i Zhizn', April, 2008, 4
(here)
-
Entrance examination patience. Russia and West.
Electronic newspaper
polit.ru, 27.05.2009,
(here)
-
Why it is impossible to write variants of Unified State Examination?
Electronic journal za-nauku.ru, 24.05.2008
(here)
-
Trandiness of Establishment and engineering education. Spring 2011
Electronic journal za-nauku.ru 28.04.2011
(here)
-
A logical problem. Which are purposes of Unified State Examination?
Newspaper Troitsky variant
June, 2011
-
Elections in Russia: falsified mathematics againist electorial falsifications
Electronic journal,
za-nauku.ru 15.12.2011
-
Bibliometrics as a tool of 'effective managemet'
Electronic journal za-nauku.ru, 19.10.2013 .
(here)
-
Great bibliometrical jehad ,
Nezavisimaya gazeta, 11.12.2013 (here)
-
Under
Carthago walls. Bibliography on reform of Russian Academy of Sciences, 2002-2013,
Save RAS, 11.12.13
-
Unified State Examination and agony of mathematics in schools ,
Matematicheskoe obrazovanie (Mathematical education), 2016, no. 4(80), 2-14,
(here)
-
Kolmogorov reform of mathematical education, 1970-1980 ,
https://arxiv.org/abs/1911.06108
-
Open letter from 19.11.2019 (concerning elections of a dean of MechMath Department of Moscow university)
Site za-dekana.ru;
also my homepage
8. Congratulations
-
Mark Iosifovich Graev (to 85 anniversary)
A.M.Vershik, I.M.Gelfand, S.G.Gindikin, A.A.Kirillov,
G.L.Litvinov, V.F.Molchanov, Yu.A.Neretin,
V.S.Retah, Uspekhi Mat. Nauk, 63:1(379) (2008), 169-182; Russian Math. Surveys, 63:1 (2008), 173-188
DOI ,
Russian.
-
Sabir Medgidovich Gusein-Zade
S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vladut
Mosc. Math. J., 10:4 (2010), 831-832
journal .
-
Ismagilov Rais Sal'manovich (in ocassion to 75 anniversary)
A.M.Vershik, A.A.Kirillov, V.F.Molchanov, Yu.A.Neretin,
G.I.Olshanski, V.V.Ryzhikov, V.M.Tikhomirov, A.A.Shkalikov.
Uspekhi Mat. Nauk, 68:4(412) (2013), 185-190; Russian Math. Surveys, 68:4 (2013), 783-788.
DOI ,
scan ,
Russian.
-
Molchanov Vladimir Fedorovich
(in ocassion to 75 anniversary)
S.G.Gindikin, R.S.Ismagilov, A.V.Karabegov, Yu.A.Neretin, N.I.Nessonov, G.I.Olshabski,
Uspekhi Mat. Nauk, 69:3(417) (2014), 186-190; Russian Math. Surveys, 69:3 (2014), 583-588
DOI ,
scan ,
Russian.
-
Grigori Iosifovich Olshanski (on his 70th birthday)
A. M. Borodin, A. I. Bufetov, Aleksei I. Bufetov, A. M. Vershik, V. Gorin, A. I. Molev, V. F. Molchanov, R. S. Ismagilov, A. A. Kirillov, M. L. Nazarov, Yu. A. Neretin, N. I. Nessonov, A. Yu. Okounkov, L. A. Petrov, S. M. Khoroshkin, ,
Uspekhi Mat. Nauk, 74:3(447) (2019), 193-213; Russian Math. Surveys, 74:3 (2019), 555-577
DOI ,
scan ,
Russian.
-
(with A.M.Stepin) Rais Salmanovich Ismagilov (in ocassion 80 birthday) (Russian)
Chebyshevskii Sbornik, 2019, 1, 423-426.
journal
9. Prefaces
-
Russian edition of Andrews, Askey, Roy 'Special functions'
Moscow Center for Continuous Mathematical Education, 2013
(here)
-
(with M.Olshanetsly, A. Rosly) Moscow seminar on Mathematical Physics, ,
2006
AMS translations
(here)
10. Interview
-
'Liberte aux professeurs associes!'
Interview with Alexandre Aleksandrovich Kirillov
(Alice Fialowski, Yury Neretin,
Michael Pevzner, and Vladimir Salnikov)
Newsletter of the European Mathematical Society,
December 2017, 21-29
journal
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