Hilbert spaces contractively included in the Hardy space of the bidisk

Daniel Alpay; Vladimir Bolotnikov; Aad Dijksma; James Rovnyak; Cora Sadosky

doi:10.1016/s0764-4442(98)80393-5

Hilbert spaces contractively included in the Hardy space of the bidisk

Daniel Alpay
, Vladimir Bolotnikov
, Aad Dijksma
, James Rovnyak
, Cora Sadosky

Department of Mathematics

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

3 Scopus citations

Abstract

Reproducing kernel Hilbert space whose reproducing kernels are of the form (3) do not have an immediate generalization to the case of several variables. We propose a definition in the case of two variables and outline the corresponding theory.

Original language	English
Pages (from-to)	1365-1370
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	326
Issue number	12
DOIs	https://doi.org/10.1016/s0764-4442(98)80393-5
State	Published - 1 Jan 1998

ASJC Scopus subject areas

General Mathematics

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10.1016/s0764-4442(98)80393-5

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title = "Hilbert spaces contractively included in the Hardy space of the bidisk",

abstract = "Reproducing kernel Hilbert space whose reproducing kernels are of the form (3) do not have an immediate generalization to the case of several variables. We propose a definition in the case of two variables and outline the corresponding theory.",

author = "Daniel Alpay and Vladimir Bolotnikov and Aad Dijksma and James Rovnyak and Cora Sadosky",

year = "1998",

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T1 - Hilbert spaces contractively included in the Hardy space of the bidisk

AU - Alpay, Daniel

AU - Bolotnikov, Vladimir

AU - Dijksma, Aad

AU - Rovnyak, James

AU - Sadosky, Cora

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Reproducing kernel Hilbert space whose reproducing kernels are of the form (3) do not have an immediate generalization to the case of several variables. We propose a definition in the case of two variables and outline the corresponding theory.

AB - Reproducing kernel Hilbert space whose reproducing kernels are of the form (3) do not have an immediate generalization to the case of several variables. We propose a definition in the case of two variables and outline the corresponding theory.

UR - https://www.scopus.com/pages/publications/0032092007

U2 - 10.1016/s0764-4442(98)80393-5

DO - 10.1016/s0764-4442(98)80393-5

M3 - Article

AN - SCOPUS:0032092007

SN - 0764-4442

VL - 326

SP - 1365

EP - 1370

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

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

IS - 12

ER -

Hilbert spaces contractively included in the Hardy space of the bidisk

Abstract

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