Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

DOI10.1137/0519065zbMath0668.47019OpenAlexW2018297656MaRDI QIDQ3821160

Joanne Dombrowski

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://corescholar.libraries.wright.edu/math/53

zbMATH Keywords

tridiagonalabsolutely continuous partscalar spectral measureorthogonal polynomials with exponential weights

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25)

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Spectral measures corresponding to orthogonal polynomials with unbounded recurrence coefficients, The one-quarter class of orthogonal polynomials, Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients, Ted Chihara and his work on orthogonal polynomials, Jacobi matrices with power-like weights -- grouping in blocks approach, Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.