The prolate spheroidal phenomena and bispectrality

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dc.creatorGrünbaum, F. Alberto
dc.creatorYakimov, Milen
dc.date2003-03-17
dc.date.accessioned2026-07-07T04:29:54Z
dc.date.available2026-07-07T04:29:54Z
dc.descriptionLandau, Pollak, Slepian, and Tracy, Widom discovered that certain integral operators with so called Bessel and Airy kernels possess commuting differential operators and found important applications of this phenomena in time-band limiting and random matrix theory. In this paper we announce that very large classes of integral operators derived from bispectral algebras of rank 1 and 2 (parametrized by lagrangian grassmannians of infinitely large size) have this property. The above examples come from special points in these grassmannians.
dc.description12 pages, AMS Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0303041
dc.identifierhttp://arxiv.org/abs/math-ph/0303041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57330
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleThe prolate spheroidal phenomena and bispectrality
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