The Fock Space as a De Branges–Rovnyak Space

Authors

Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

11-1-2019

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.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Integral Equations Operator Theory, volume 91, in 2019 following peer review. The final publication may differ and is available at Springer via https://doi.org/10.1007/s00020-019-2550-2

Recommended Citation

D. Alpay, F. Colombo, and I. Sabadini. The Fock space as a De Branges–Rovnyak space. Integral Equations Operator Theory, 91(51), 2019. https://doi.org/10.1007/s00020-019-2550-2

Peer Reviewed

1

Copyright

Springer