Analysis & Applications Seminar
Paley-Wiener spaces of discrete entire functions on Z^2
Speaker: Matteo Monti (Università di Bergamo)Date: Friday, 21 February 2025 - 11:30Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
In this talk I will present a Paley–Wiener type theorem for the class of discrete entire functions on Z^2. 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 × {0}.
I will then define some reproducing kernel Hilbert spaces PWα. For such spaces I will provide a sampling result. Namely, I will provide sufficient conditions to reconstruct the function on Z^2 starting only from the sampling of the function on a proper subsets of Z.
This is a joint work with Alessandro Monguzzi.
