indigenous 发表于 2025-3-30 08:50:42
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An Introduction to Group Representations and Orthogonal Polynomials,ions for the rotation groups in Euclidean space (ultraspherical polynomials), and the matrix elements of .(2) (Jacobi polynomials) are discussed. A general theory for finite groups acting on graphs, giving a finite set of discrete orthogonal polynomials is given. Explicit examples include graphs giving the Krawtchouk and Hahn polynomials.gain631 发表于 2025-3-31 04:39:30
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Orthogonal Polynomials978-94-009-0501-6Series ISSN 1389-2185无可非议 发表于 2025-3-31 09:48:28
Characterization Theorems for Orthogonal Polynomials,We survey in this paper characterization theorems dealing with polynomial sets which are orthogonal on the real line.Arthr- 发表于 2025-3-31 14:32:53
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Orthogonal Polynomials and Functional Analysis,This paper studies the measure of orthogonality for a system of polynomials defined by a three term recursion formula, using the techniques of operator theory and functional analysis. Spectral properties of self-adjoint operators and compact operators, perturbation theorems, and commutator equations are used in the development of the ideas.造反,叛乱 发表于 2025-4-1 00:16:10
Orthogonal Polynomials Associated with Root Systems,The orthogonal polynomials that are the subject of these lectures are Laurent polynomials in several variables. They depend rationally on two parameters q and t, and there is a family of them attached to each root system R. For particular values of the parameters q and t, these polynomials reduce to objects familiar in representation theory: