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2016 Survey Article: Continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle
C. Bonan-Hamada, W.B. Jones, O. Njastad
Rocky Mountain J. Math. 46(1): 1-49 (2016). DOI: 10.1216/RMJ-2016-46-1-1

Abstract

This paper surveys the close relationships among the topics included in the title. Emphasis is given to the family of positive Perron-Caratheodory continued fractions (PPC-fractions) which play a central role in the theory of trigonometric moment problems and Szego polynomials orthogonal on the unit circle. An important application of PPC-fractions is frequency analysis of discrete time signals using Wiener-Levinson digital filters with illustrations given from computational experiments.

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C. Bonan-Hamada. W.B. Jones. O. Njastad. "Survey Article: Continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle." Rocky Mountain J. Math. 46 (1) 1 - 49, 2016. https://doi.org/10.1216/RMJ-2016-46-1-1

Information

Published: 2016
First available in Project Euclid: 23 May 2016

zbMATH: 1338.30004
MathSciNet: MR3506077
Digital Object Identifier: 10.1216/RMJ-2016-46-1-1

Subjects:
Primary: 30B70
Secondary: 30E05, 33C45, 40A15, 42A70, 42C05, 44A60, 93E11

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

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Vol.46 • No. 1 • 2016
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