ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
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Data
2019-08-01
Autores
Lun, Yen Chi [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Mathematical Soc
Resumo
We prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.
Descrição
Palavras-chave
Paraorthogonal polynomials, zeros, monotonicity
Como citar
Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 147, n. 8, p. 3389-3399, 2019.