Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space

Autor: Gröchenig, Karlheinz, Ortega-Cerdà, Joaquim
Rok vydání: 2021
Předmět:
Zdroj: Mathematische Zeitschrift 302, 1409-1428 (2022)
Druh dokumentu: Working Paper
DOI: 10.1007/s00209-022-03087-4
Popis: 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.
Databáze: arXiv