Orthogonal polynomials and quadratic extremal problems

Autor:	J. M. Mcdougall
Rok vydání:	2002
Předmět:	Extremal combinatorics Pure mathematics Extremal length Applied Mathematics General Mathematics Discrete orthogonal polynomials Hilbert space Dirichlet space Algebra Classical orthogonal polynomials symbols.namesake Wilson polynomials Orthogonal polynomials symbols Mathematics
Zdroj:	Transactions of the American Mathematical Society. 354:2341-2357
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-02-02960-4
Popis:	The purpose of this paper is to analyse a class of quadratic extremal problems defined on various Hilbert spaces of analytic functions, thereby generalizing an extremal problem on the Dirichlet space which was solved by S.D. Fisher. Each extremal problem considered here is shown to be connected with a system of orthogonal polynomials. The orthogonal polynomials then determine properties of the extremal function, and provide information about the existence of extremals.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3487c7454dab6be6541a6a036f448823 https://doi.org/10.1090/s0002-9947-02-02960-4 Zobrazit plný text záznamu