Almost Everywhere Convergence of Prolate Spheroidal Series

In this paper, we show that the expansions of functions from \(L^p\)-Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for \(1

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Bibliographic Details
Published in:arXiv.org 2020-01
Main Authors: Jaming, Philippe, Speckbacher, Michael
Format: Article
Language:English
Subjects:
Convergence
Fourier transforms
Operators (mathematics)
Wave functions
Online Access:Get full text
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Description
Summary:In this paper, we show that the expansions of functions from \(L^p\)-Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for \(1
ISSN:2331-8422
DOI:10.48550/arxiv.2001.04287