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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials
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by Jeffrey S. Geronimo PDF
Trans. Amer. Math. Soc. 260 (1980), 65-82 Request permission

Abstract:

A relation is found between the rate of convergence of the coefficients in the recurrence formula for polynomials orthogonal on a segment of the real line and certain properties of the spectral function. The techniques of Banach algebras and scattering theory are used. The close connection between polynomials orthogonal on the unit circle and polynomials orthogonal on the real line is exploited.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 260 (1980), 65-82
  • MSC: Primary 42C05
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0570779-9
  • MathSciNet review: 570779