On zeros of regular orthogonal polynomials on the unit circle

• Autorzy: P. García Lázaro , F. Marcellán
• Języki publikacji: EN

Abstrakty

EN

A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.

Słowa kluczowe

EN

zeros; orthogonal polynomials; Toeplitz matrices; regular functional

Kategorie tematyczne

• 42C05: Orthogonal functions and polynomials, general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 3
• Strony: 287-298

Daty

wydano

1993

otrzymano

1992-08-28

poprawiono

1993-06-14

Twórcy

autor

P. García Lázaro

• Departamento de Matemática Aplicada, E.T.S.I. Industriales, Universidad Politécnica, C/José Gutierrez Abascal, 2, 28006 Madrid, Spain

autor

F. Marcellán

• Departamento de Ingenieria, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida Mediterraneo 20, 28913 Leganes (Madrid), Spain

Bibliografia

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• [4] P. Garcí a Lázaro, Polinomios ortogonales y distribuciones, Doctoral Dissertation, Publ. Sem. Mat. García de Galdeano, Ser. II, 32, Universidad de Zaragoza, 1990.
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• [11] F. Marcellán and M. Alfaro, Recent trends in orthogonal polynomials on the unit circle, in: Orthogonal Polynomials and their Applications, C. Brezinski et al. (eds.), IMACS Ann. Comput. Appl. Math. 9 (1991), 3-14.
• [12] G. Szegö, Orthogonal Polynomials, 4th ed., Amer. Math. Soc. Colloq. Publ. 23, Providence, 1975.