The Young type theorem in weighted Fock spaces
classification
🧮 math.CV
math.FA
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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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