Propriétés géométriques de familles de noyaux reproduisants dans l’espace de Fock

Alexander Borichev
I2M, Aix-Marseille Université
/user/alexandre.borichev/

Date(s) : 13/11/2017   iCal
10 h 00 min - 11 h 00 min

Geometric properties of families of reproducing kernels in Fock space

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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.

The Young type theorem in weighted Fock spaces

https://arxiv.org/abs/1705.05778

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