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

Daniel Alpay; Victor Vinnikov

doi:10.1016/S0764-4442(01)02104-8

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

Translated title of the contribution: Carathéodory functions on a Riemann surface and associated reproducing kernel Hilbert spaces

Daniel Alpay
, Victor Vinnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Carathéodory functions are functions which are analytic and with a positive real part in the open upper half-plane C₊. They are associated to reproducing kernel Hilbert spaces (with reproducing kernel of the form (2)) and play an important role in moment problems and in prediction theory of second order stationary processes. We study their counterpart in the setting of compact real Riemann surfaces.

Translated title of the contribution	Carathéodory functions on a Riemann surface and associated reproducing kernel Hilbert spaces
Original language	French
Pages (from-to)	523-528
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	6
DOIs	https://doi.org/10.1016/S0764-4442(01)02104-8
State	Published - 1 Sep 2001

ASJC Scopus subject areas

General Mathematics

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10.1016/S0764-4442(01)02104-8

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abstract = "Carath{\'e}odory functions are functions which are analytic and with a positive real part in the open upper half-plane C+. They are associated to reproducing kernel Hilbert spaces (with reproducing kernel of the form (2)) and play an important role in moment problems and in prediction theory of second order stationary processes. We study their counterpart in the setting of compact real Riemann surfaces.",

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AU - Vinnikov, Victor

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N2 - Carathéodory functions are functions which are analytic and with a positive real part in the open upper half-plane C+. They are associated to reproducing kernel Hilbert spaces (with reproducing kernel of the form (2)) and play an important role in moment problems and in prediction theory of second order stationary processes. We study their counterpart in the setting of compact real Riemann surfaces.

AB - Carathéodory functions are functions which are analytic and with a positive real part in the open upper half-plane C+. They are associated to reproducing kernel Hilbert spaces (with reproducing kernel of the form (2)) and play an important role in moment problems and in prediction theory of second order stationary processes. We study their counterpart in the setting of compact real Riemann surfaces.

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U2 - 10.1016/S0764-4442(01)02104-8

DO - 10.1016/S0764-4442(01)02104-8

M3 - מאמר

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SN - 0764-4442

VL - 333

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 6

ER -

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

Abstract

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