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arXiv · 1801.01345

De Branges spaces and Fock spaces

Anton Baranov·Hélène Bommier-Hato
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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.

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Anton Baranov, Hélène Bommier-Hato. 2018-01-04. De Branges spaces and Fock spaces. https://arxiv.org/abs/1801.01345

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