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arXiv · 1812.07065

The Fock space as a de Branges-Rovnyak space

Daniel Alpay·Fabrizio Colombo·Irene Sabadini
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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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Daniel Alpay, Fabrizio Colombo, Irene Sabadini. 2018-12-17. The Fock space as a de Branges-Rovnyak space. https://arxiv.org/abs/1812.07065

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