A limit formula for semigroups defined by Fourier-Jacobi series

DOI10.1090/proc/13889zbMath1388.33006OpenAlexW2767943947MaRDI QIDQ4604679

Jean C. Guella, Valdir A. Menegatto

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13889

zbMATH Keywords

positive definitenessJacobi polynomialsFourier-Jacobi expansionstwo-point homogeneous spaceslimit formulas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Positive definite functions in one variable harmonic analysis (42A82) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

Strictly positive definite functions on compact two-point homogeneous spaces: the product alternative ⋮ Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials

Cites Work

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• Strictly positive definite kernels on the hilbert sphere
• Linearization of the Product of Jacobi Polynomials. I
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