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arxiv: 1705.05778 · v1 · pith:DXOZR5D4new · submitted 2017-05-16 · 🧮 math.CV · math.FA

The Young type theorem in weighted Fock spaces

classification 🧮 math.CV math.FA
keywords spacecompletefockkernelsreproducingresultsystemtheorem
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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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