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High-Frequency Asymptotic Expansions for Certain Prolate Spheroidal Wave Functions
Authors:Hong?Xiao  author-information"  >  author-information__contact u-icon-before"  >  mailto:hxiao@ucdavis.edu"   title="  hxiao@ucdavis.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Vladimir?Rokhlin  author-information"  >  author-information__contact u-icon-before"  >  mailto:rokhlin@cs.yale.edu"   title="  rokhlin@cs.yale.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, University of California at Davis, One Shields Avenue, Davis, CA 95616, USA;(2) Department of Computer Science, Yale University, 51 Prospect Street, New Haven, CT 06520, USA;(3) Madmax Optics, Inc., 3035 Whitney Ave., Hamden, CT 06518, USA
Abstract:Prolate Spheroidal Wave Functions (PSWFs) are a well-studied subject with applications in signal processing, wave propagation, antenna theory, etc. Originally introduced in the context of separation of variables for certain partial differential equations, PSWFs became an important tool for the analysis of band-limited functions after the famous series of articles by Slepian et al. The popularity of PSWFs seems likely to increase in the near future, as band-limited functions become a numerical (as well as an analytical) tool.
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