TO THE THEORY OF [C.sub.0]-OPERATOR ORTHOGONAL POLYNOMIALS

Operator orthogonal polynomials are considered whose arguments are generators of strongly continuous semigroups of transformations of class [C.sub.0] acting in a Banach space. Earlier such polynomials were considered by the authors in the case of the Chebyshev polynomials of the first and second kin...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) Jg. 234; H. 3; S. 350 - 356
Hauptverfasser:	Kostin, V.A, Nebol'sina, M.N
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Springer 04.10.2018
ISSN:	1072-3374
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Operator orthogonal polynomials are considered whose arguments are generators of strongly continuous semigroups of transformations of class [C.sub.0] acting in a Banach space. Earlier such polynomials were considered by the authors in the case of the Chebyshev polynomials of the first and second kind. In this paper, more general classes of operator orthogonal polynomials are considered, which include the Jacobi and Aptekarev polynomials. Integral representations of operator fractional-rational functions and also of Bessel operator-valued functions of an imaginary argument are presented. Bibliography: 11 titles.
ISSN:	1072-3374
DOI:	10.1007/s10958-018-4011-x