- 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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