Convolution structures associated with orthogonal polynomials

DOI10.1016/0022-247X(92)90011-2zbMath0766.33007MaRDI QIDQ1206908

Ryszard Szwarc

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach algebraconvolutionJacobi polynomials

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (6)

Linearization formula for the product of associated \(q\)-ultraspherical polynomials ⋮ Linearization coefficients for Sheffer polynomial sets via lowering operators ⋮ Space-time fractional diffusion equation associated with Jacobi expansions ⋮ Connection relations and characterizations of orthogonal polynomials ⋮ Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup ⋮ A formula of Hilb's type for orthogonal polynomials

Cites Work

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• The decomposition of Walsh and Fourier series
• Orthogonal Polynomials and a Discrete Boundary Value Problem I
• Orthogonal Polynomials and a Discrete Boundary Value Problem II
• Orthogonal polynomials
• Linearization of the Product of Jacobi Polynomials. I
• Linearization of the Product of Jacobi Polynomials. II
• Weighted Quadratic Norms and Ultraspherical Polynomials, I

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