Publications

1. Barnes-Ismagilov integrals and hypergeometric functions of the complex field SIGMA, 2020, Volume 16, 072, 20 pages
   DOI , arXiv,
2. Fourier transform on the Lobachevsky plane and operational calculus Funct. Anal. Applications, v 54,4 (2020), 278-286
   DOI , arXiv .
3. A remark on nilpotent Lie algebras that do no admit gradings, Journal of Mathematical Sciences, 247, 711-722(2020).
   DOI , paper .
4. On the group of spheromorphisms of the homogeneous non-locally finite tree. Izv. Math., 84:6 (2020), 1161-1191
   DOI , arXiv .
5. Description of unitary representations of the group of infinite $p$-adic integer matrices, Represent. Theory 25 (2021), 606-643.
   DOI, arXiv:1906.09440
6. An analog of the Dougall formula and of the de Branges--Wilson integral Ramanujan Journal, 54 (2021), no. 1, 93-106.
   DOI , arXiv
7. Polyhomomorphisms of locally compact groups Sb. Math., 212:2 (2021), 185-210
   DOI , arXiv .
8. Vladimir F. Molchanov, Yury A. Neretin, A pair of commuting hypergeometric operators on the complex plane and bispectrality J. Spectr. Theory 11 (2021), no. 2, 509-586.
   DOI , arXiv,
9. On spherical unitary representations of groups of spheromorphisms of Bruhat--Tits trees. Groups Geom. Dyn. 15 (2021), no. 3, 801-824.
   DOI, arXiv:1906.12197.
10. Groups $GL(\infty)$ over finite fields and multiplications of double cosets J. of Algebra 585 (2021), 370-421.
    DOI , arXiv,
11. On double cosets of groups GL(n) with respect to subgroups of block strictly triangular matrices Linear and Multilinear Algebra, 70, No. 19, 4620-4632 (2022)
    DOI , arXiv,
12. 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, https://arxiv.org/abs/2105.10800
13. Inner functions of matrix argument and conjugacy classes in unitary groups. Matem. Sbornik, 213:8 (2022), 26-43 (English translation to appear in Sbornik: Mathematics)
    DOI , arXiv
14. 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, arXiv
15. On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups Mathematical Notes, 2023, 114: 4, 583-592.
    Preprint version arXiv
16. Algebras of conjugacy classes in symmetric groups Mosc. Math. J., 2024
    DOI: 10.17323/1609-4514-2024-24-2-201-217 Preprint version arXiv
17. 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
18. 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
19. 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
20. On the group of homeomorphisms of the Basilica.
    https://arxiv.org/abs/2303.11482, To appear in Topology Proceedings, 2024
21. Non-singular actions of infinite-dimensional groups and polymorphisms
    Preprint https://arxiv.org/abs/2301.01736 To appear, Mosc. Math. J. 2024
22. Riesz products and spectral decompositions for rank 1 measure preserving transformations.
    Preprint https://arxiv.org/abs/1806.10884 arXiv:1806.10884
23. Some remarks on traces on the infinite-dimensional Iwahori--Hecke algebra
    Preprint Preprint, https://arxiv.org/abs/2101.02133, 2021
24. Virtual permutations and polymorhisms
    Preprint, https://arxiv.org/abs/2202.12978
25. Groups of isometries of ultrametric Urysohn spaces and their unitary representations
    Preprint, https://arxiv.org/abs/2212.02607 (2022)
26. Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields
    https://arxiv.org/abs/2308.13247, Preprint, 2023