Absence of the point spectrum in a class of tridiagonal operators.

DOI10.1016/S0096-3003(02)00022-XzbMath1053.47025MaRDI QIDQ1856020

Chrysoula G. Kokologiannaki

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

point spectrumtridiagonal operatororthogonal polynomial

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Other hypergeometric functions and integrals in several variables (33C70) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Orthogonal polynomials and measures with finitely many point masses
• On the support of the measure of orthogonality of a class of orthogonal polynomials.
• An alternative proof of a theorem of Stieltjes and related results
• Quadratic forms and convergence regions for continued fractions
• Orthogonal Polynomials Whose Distribution Functions Have Finite Point Spectra
• An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix
• Convolutions of Orthonormal Polynomials
• Abstract Formulation of the Quantum Mechanical Oscillator Phase Problem
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