Orthogonal polynomials with exponentially decaying recursion coefficients

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dc.creatorSimon, Barry
dc.date2006-03-03
dc.date.accessioned2026-07-07T07:06:31Z
dc.date.available2026-07-07T07:06:31Z
dc.descriptionWe review recent results on necessary and sufficient conditions for measures on $\mathbb{R}$ and $\partial\mathbb{D}$ to yield exponential decay of the recursion coefficients of the corresponding orthogonal polynomials. We include results on the relation of detailed asymptotics of the recursion coefficients to detailed analyticity of the measures. We present an analog of Carmona's formula for OPRL. A major role is played by the Szego and Jost functions.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0603099
dc.identifierhttp://arxiv.org/abs/math/0603099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110053
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subject05E35, 47B36, 30D30
dc.titleOrthogonal polynomials with exponentially decaying recursion coefficients
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