I2M, Aix-Marseille Université
Date(s) : 13/11/2017 iCal
10 h 00 min - 11 h 00 min
Geometric properties of families of reproducing kernels in Fock space
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