Autor:	Aldroubi, Akram, Cabrelli, Carlos, Molter, Ursula
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs 41A65 43A70
Druh dokumentu:	Working Paper
Popis:	In this paper, we examine a discrete dynamical system defined by x(n+1) = Ax(n)+ w(n), where x takes values in a Hilbert space H and w is a periodic source with values in a fixed closed subspace W of H. Our goal is to identify conditions on some spatial sampling system G = {gj: j in J} of H that enable stable recovery of the unknown source term w from space-time samples {: n >=0,j in J}. We provide necessary and sufficient conditions on G = {g_j }_{j in J} to ensure stable recovery of any w in W . Additionally, we explicitly construct an operator R, dependent on G, such that R{}_n,j} = w. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.06934 Zobrazit plný text záznamu View this record from Arxiv