De Branges spaces and Fock spaces
Complex Variables
2018-01-08 v1 Functional Analysis
Abstract
Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges space can be realized as a Fock-type space with equivalent area norm, and several constructions of a representing weight are suggested. For some special classes of weights (e.g., weights depending on the imaginary part only) the corresponding de Branges spaces are explicitly described.
Cite
@article{arxiv.1801.01345,
title = {De Branges spaces and Fock spaces},
author = {Anton Baranov and Hélène Bommier-Hato},
journal= {arXiv preprint arXiv:1801.01345},
year = {2018}
}
Comments
19 pages