Abstract
This paper studies the measure of orthogonality for a system of polynomials defined by a three term recursion formula, using the techniques of operator theory and functional analysis. Spectral properties of self-adjoint operators and compact operators, perturbation theorems, and commutator equations are used in the development of the ideas.
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© 1990 Kluwer Academic Publishers
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Dombrowski, J. (1990). Orthogonal Polynomials and Functional Analysis. In: Nevai, P. (eds) Orthogonal Polynomials. NATO ASI Series, vol 294. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0501-6_7
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DOI: https://doi.org/10.1007/978-94-009-0501-6_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6711-9
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