Finite dimensional de Branges spaces on Riemann surfaces
type: Item
instance of: scholarly article
title: Finite dimensional de Branges spaces on Riemann surfaces
zbMATH Open document ID: 1038.46020
author: Victor Vinnikov
author: Daniel Alpay
published in: Journal of Functional Analysis
publication date: 2002-09-08T00:00:00Z
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 46C20
Mathematics Subject Classification ID: 47B32
Mathematics Subject Classification ID: 30D30
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 1797572
zbMATH Keywords: reproducing kernel
zbMATH Keywords: indefinite inner product spaces
zbMATH Keywords: analogs of de Branges spaces
zbMATH Keywords: generalized difference quotient operators
zbMATH Keywords: meromorphic functions
zbMATH Keywords: compact real Riemann surfaces
MaRDI profile type: Publication
OpenAlex ID: W2079791117
cites work: Foundations of the theory of Klein surfaces
cites work: A theorem on reproducing kernel Hilbert spaces of pairs
cites work: Q3724961
cites work: Topics in interpolation theory of rational matrix-valued functions
cites work: Indefinite Hardy spaces on finite bordered Riemann surfaces
cites work: Q4305693
cites work: Q3973562
cites work: Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
cites work: Minimal factorization of matrix and operator functions
cites work: Some Hilbert Spaces of Analytic Functions
cites work: Spectral analysis of non-selfadjoint operators and intermediate systems
cites work: Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
cites work: Q3931656
cites work: Theta functions on Riemann surfaces
cites work: Q4195061
cites work: Q5565313
cites work: Hall-order differentials on Riemann surfaces
cites work: Operator waves in Hilbert space and related partial differential equations
cites work: A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves
cites work: Cayley-Hamilton theorem, vector bundles and divisors of commuting operators
cites work: Collective motions of spatio-temporal systems
cites work: Q3763131
cites work: Q4850054
cites work: Q3874767
cites work: Q5840705
cites work: Q1838549
cites work: Tata lectures on theta. III
cites work: Klein surfaces
cites work: The multiplicative structure of 𝐽-contractive matrix functions
cites work: Connections and conformal mapping
cites work: Q3966409
cites work: Q5825483
cites work: Q3840246
cites work: Q4287409
cites work: Self-adjoint determinantal representations of real plane curves
cites work: Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
DOI: 10.1006/JFAN.2000.3623
description: scientific article; zbMATH DE number 1797572