A Clifford Construction of Multidimensional Prolate Spheroidal Wave Functions

被引：1

作者：

Ghaffari, Hamed Baghal ^{[1
]}

Hogan, Jeffrey A. ^{[1
]}

Lakey, Joseph D. ^{[2
]}

机构：

[1] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW, Australia

[2] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

2019 13TH INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA) | 2019年

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1109/sampta45681.2019.9030948

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We investigate the construction of multidimensional prolate spheroidal wave functions using techniques from Clifford analysis. The prolates are defined to be eigenfunctions of a certain differential operator and we propose a method for computing these eigenfunctions through expansions in Clifford-Legendre polynomials. It is shown that the differential operator commutes with a time-frequency limiting operator defined relative to balls in n-dimensional Euclidean space.

引用

页数：4

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