Peter Yuditskii
A Special Case of de Branges' Theorem on Monodromy Matrix: Associated Riemann Surface is of Widom Type with Direct Cauchy Theorem
Preprint series: ESI preprints

MSC:

42C05 Orthogonal functions and polynomials, general theory, See also {33A65, 33C45, 33C50, 33D45}

44A60 Moment problems

30H05 Spaces and algebras of analytic functions, See also {32E25, 46Exx, 46J15}

30E05 Moment problems, interpolation problems

47A57 Operator methods in interpolation, moment and extension problems, See also {30E05, 42A70, 42A82}

Abstract: In this note we prove some property of stability of
measures with infinite index of determinacy: if measure
$\mu$ has an infinite index of determinacy and measure
$\nu$ has an analytic in a strip Fourier transformation
than the measure $\mu+\nu$ has an infinite index
of determinacy.
Keywords: Fuchsian group of Widom type, direct Cauchy theorem, character-automorphic Hardy classes, Nehari problem