Journal article
Polynomial Analogues of Prolate Spheroidal Wave Functions and Uncertainty
SIAM journal on mathematical analysis, v 17(1)
01 Jan 1986
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Abstract
Slepian, Landau, and Pollak used prolate spheroidal wave functions to demonstrate how nearly "time" and "bandlimited" a square-integrable function can be. In this note we show how their results extend easily to cover orthogonal polynomial expansions. In particular, we study how close a square-integrable function can come to being a polynomial of degree $ \leqq L$ and simultaneously to vanishing off some set $\mathcal{A}$.
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Details
- Title
- Polynomial Analogues of Prolate Spheroidal Wave Functions and Uncertainty
- Creators
- Marci Perlstadt
- Publication Details
- SIAM journal on mathematical analysis, v 17(1)
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1986AYF8200022
- Other Identifier
- 991019184292504721
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- Web of Science research areas
- Mathematics, Applied