To the Theory of C 0-Operator Orthogonal Polynomials

Operator orthogonal polynomials are considered whose arguments are generators of strongly continuous semigroups of transformations of class C0 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 t...

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Vydáno v:Journal of mathematical sciences (New York, N.Y.) Ročník 234; číslo 3; s. 350 - 356
Hlavní autoři: Kostin, V A, M. N. Nebol’sina
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer Nature B.V 01.10.2018
Témata:
Banach spaces
Chebyshev approximation
Mathematical analysis
Operators (mathematics)
Polynomials
Rational functions
ISSN:1072-3374, 1573-8795
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Popis
Shrnutí:Operator orthogonal polynomials are considered whose arguments are generators of strongly continuous semigroups of transformations of class C0 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.
Bibliografie:ObjectType-Article-1
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-4011-x