Exponential bases, Paley-Wiener spaces and applications

2014/10/13 by Alex Iosevich, Iosevich, Alex, Azita Mayeli +1
Mathematics · #41 #42 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:41 #msc:42

paper · pdf · doi:10.48550/arxiv.1410.3170

To appear in the Journal of Functional Analysis

arxiv created 2014/10/13 · arxiv updated 2014/10/14

Abstract

We investigate the connection between translation bases for Paley-Wiener spaces and exponential Fourier bases for a domain. We apply these results to the characterization of vector-valued time-frequency translates of a Paley-Wiener "window" signal.

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