SEMINARIO DE ANÁLISIS Y APLICACIONES

Viernes, 21 de febrero de 2025,

11:30 - 12:30, Aula 520, departamento de Matemáticas

Matteo Monti
Universitá di Bergamo

Paley-Wiener spaces of discrete entire functions
on Z2

Resumen:
In this talk I will present a Paley–Wiener type theorem for the class of discrete entire
functions on Z2. Similarly to the continuous case, I will show how a suitable exponential
growth condition of a discrete entire function F is interlinked with the support of the
Fourier transform of the restriction of F to Z  f0g.
I will then define some reproducing kernel Hilbert spaces PW . For such spaces I will
provide a sampling result. Namely, I will provide sufficient conditions to reconstruct the
function on Z2 starting only from the sampling of the function on a proper subsets of
Z.
This is a joint work with Alessandro Monguzzi.
ICMAT CSIC-UAM-UC3M-UCM
Departamento de Matemáticas. U.A.M.
Proyecto CEX2019-000904-S financiado por MCIN/ AEI/10.13039/501100011033.