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/lp/de-gruyter/some-further-estimates-of-the-prolate-spheroidal-wave-functions-and-GmEYR1Gf69
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- Publisher
- de Gruyter
- Copyright
- Copyright © 2015 by the
- ISSN
- 1867-1152
- eISSN
- 1869-6090
- DOI
- 10.1515/apam-2015-5003
- Publisher site
- See Article on Publisher Site
Abstract
Abstract We complete here our recent work on explicit approximations of the Prolate Spheroidal Wave Functions (PSWFs) on the interval (-1,+1) and their associated spectra by pushing forward the methods in view of new results. We give in particular approximations of the ratio between large and small oscillations of PSWFs as well of the transition bandwidth for which the PSWF stops to take its largest values at the boundary of the interval. The aim of this work is two folds. On one hand, we prove a bunch of properties of the PSWFs and on the other hand, we illustrate the theoretical results by some numerical experiments.
Journal
Advances in Pure and Applied Mathematics – de Gruyter
Published: Apr 1, 2015