Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space

Abstract

We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L^2$-space and sampling theorems for entire functions in the Fock space and the dual relation between uniform interpolating families for polynomials and interpolating sequences. As a consequence we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames.

References in corpus (2)

• Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergmann and Hardy Spaces
• Sampling discretization and related problems

Cited by in corpus (1)

• Multiple sampling and interpolation in a space of polynomials