A Clifford Construction of Multidimensional Prolate Spheroidal Wave Functions

Title: A Clifford Construction of Multidimensional Prolate Spheroidal Wave Functions
Creator: Ghaffari, Hamed Baghal; Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: 2019 13th International Conference on Sampling Theory and Applications (SampTA). Proceedings of 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019 (Bordeaux, France 08-12 July, 2019)
Relation: ARC.DP160101537 http://purl.org/au-research/grants/arc/DP160101537
Publisher Link: http://dx.doi.org/10.1109/SampTA45681.2019.9030948
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2019
Description: 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.
Subject: construction; multidimensional prolate spheroidal wave functions; clifford-legendre polynomials; time-frequency limiting
Identifier: http://hdl.handle.net/1959.13/1475813
Identifier: uon:49659
Identifier: ISBN:9781728137414
Language: eng
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