The Fock Space as a De Branges–Rovnyak Space

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number51
JournalIntegral Equations and Operator Theory
Volume91
Issue number6
DOIs
StatePublished - 1 Dec 2019
Externally publishedYes

Keywords

  • De Branges–Rovnyak spaces
  • Fock space
  • Interpolation
  • Reproducing kernel methods

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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