Journal article
Oscillation Properties for Some Polynomial Analogues of the Prolate Spheroidal Wave Functions
SIAM journal on mathematical analysis, v 19(3), pp 751-761
01 May 1988
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Abstract
Slepian, Landau, and Pollak found that a certain finite integral operator commutes with a much simpler second-order differential operator. The eigenfunctions that these operators share are prolate spheroidal wave functions and the study of these eigenfunctions has led to applications in several areas. Grunbaum displayed analogues of this commutativity for certain integral operators involving orthogonal polynomials. We discuss some implications of this commutativity for these eigenfunctions.
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Details
- Title
- Oscillation Properties for Some Polynomial Analogues of the Prolate Spheroidal Wave Functions
- Creators
- Marci A Perlstadt
- Publication Details
- SIAM journal on mathematical analysis, v 19(3), pp 751-761
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1988N189800017
- Other Identifier
- 991019184283404721
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- Web of Science research areas
- Mathematics, Applied