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arXiv · 1705.05778

The Young type theorem in weighted Fock spaces

Anton Baranov·Yurii Belov·Alexander Borichev
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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.

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Anton Baranov, Yurii Belov, Alexander Borichev. 2017-05-16. The Young type theorem in weighted Fock spaces. https://doi.org/10.1112/blms.12144

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