Multiple sampling and interpolation in the classical Fock space
Alexander Borichev (I2M), Andreas Hartmann (IMB), Karim Kellay (IMB),, Xavier Massaneda
TL;DR
This paper investigates the properties of multiple sampling, interpolation, and uniqueness in the classical Fock space, especially focusing on cases with unbounded multiplicities, to understand their mathematical structure and implications.
Contribution
It introduces new results on sampling and interpolation in the Fock space with unbounded multiplicities, extending previous theories.
Findings
Established conditions for multiple sampling in the Fock space.
Derived criteria for interpolation with unbounded multiplicities.
Analyzed uniqueness sets in the context of unbounded multiplicities.
Abstract
We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded mul-tiplicities.
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Taxonomy
TopicsHolomorphic and Operator Theory · Mathematical Analysis and Transform Methods · Random Matrices and Applications