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.
Citation
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
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