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Fonctions de Carathéodory sur une surface de Riemann et espaces à noyau reproduisant associés

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Publication:2756221
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DOI10.1016/S0764-4442(01)02104-8zbMath1067.46034OpenAlexW213191312MaRDI QIDQ2756221

Victor Vinnikov, Daniel Alpay

Publication date: 9 April 2002

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02104-8



Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Harmonic functions on Riemann surfaces (30F15) Kernel functions in one complex variable and applications (30C40)


Related Items (3)

Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem ⋮ How to count zeroes of polynomials on quadrature domains using the Bezout matrix ⋮ Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems




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