The Young type theorem in weighted Fock spaces
Complex Variables
2018-03-14 v1 Functional Analysis
Abstract
We prove that for every radial weighted Fock space, the system biorthogonal to a complete and minimal system of reproducing kernels is also complete under very mild regularity assumptions on the weight. This result generalizes a theorem by Young on reproducing kernels in the Paley--Wiener space and a recent result of Belov for the classical Bargmann--Segal--Fock space.
Cite
@article{arxiv.1705.05778,
title = {The Young type theorem in weighted Fock spaces},
author = {Anton Baranov and Yurii Belov and Alexander Borichev},
journal= {arXiv preprint arXiv:1705.05778},
year = {2018}
}
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7 pages