The Fock space as a de Branges-Rovnyak space
Functional Analysis
2018-12-19 v1
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.
Keywords
Cite
@article{arxiv.1812.07065,
title = {The Fock space as a de Branges-Rovnyak space},
author = {Daniel Alpay and Fabrizio Colombo and Irene Sabadini},
journal= {arXiv preprint arXiv:1812.07065},
year = {2018}
}