Para-orthogonal polynomials on the unit circle generated by Kronecker polynomials

DOI10.1090/proc/15915OpenAlexW3186276664MaRDI QIDQ3390668

Alexei Zhedanov

Publication date: 25 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.11430

zbMATH Keywords

Kronecker polynomialspara-orthogonal polynomials on unit circleSturm algorithm

Mathematics Subject Classification ID

Miscellaneous applications of number theory (11Z05) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Sieved para-orthogonal polynomials on the unit circle
• Inverse cyclotomic polynomials
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• Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez)
• Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle
• Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators
• Monic Polynomials in Z[x with Roots in the Unit Disc]
• Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle

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