The Fock Space as a De Branges–Rovnyak Space

Daniel Alpay; Fabrizio Colombo; Irene Sabadini

doi:10.1007/s00020-019-2550-2

The Fock Space as a De Branges–Rovnyak Space

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

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

2 Scopus citations

Abstract

We show that de Branges–Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.

Original language	English
Article number	51
Journal	Integral Equations and Operator Theory
Volume	91
Issue number	6
DOIs	https://doi.org/10.1007/s00020-019-2550-2
State	Published - 1 Dec 2019
Externally published	Yes

Keywords

De Branges–Rovnyak spaces
Fock space
Interpolation
Reproducing kernel methods

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-019-2550-2

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abstract = "We show that de Branges–Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.",

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AU - Colombo, Fabrizio

AU - Sabadini, Irene

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N2 - We show that de Branges–Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.

AB - We show that de Branges–Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.

KW - De Branges–Rovnyak spaces

KW - Fock space

KW - Interpolation

KW - Reproducing kernel methods

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ER -

The Fock Space as a De Branges–Rovnyak Space

Abstract

Keywords

ASJC Scopus subject areas

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