PSWF series of slowly growing functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Walter, Gilbert G.

关键词: Prolate spheroidal wave functions;    Fourier transform;    Distributions;   

DOI  :  10.1016/j.jmaa.2012.01.009

来源: Elsevier

【 摘 要 】

Band-limited signals of finite energy, i.e., functions in L-2, form the setting for much of signal processing. However, many signals of practical interest do not have finite energy. In this work we extend some results involving prolate spheroidal wave functions (PSWFs) to such signals. We consider those functions whose Fourier transforms have compact support in the sense of generalized functions and obtain convergence results for their PSWF expansions. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free