On Abel summability of Jacobi polynomials series, the Watson kernel and applications

zbMath1396.42005arXiv1207.4524MaRDI QIDQ405393

Calixto P. Calderón, Wilfredo O. Urbina R.

Publication date: 5 September 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4524

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)

Related Items (4)

Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ Remembrances and Silhouettes ⋮ Sobolev spaces associated with Jacobi expansions ⋮ Analysis related to all admissible type parameters in the Jacobi setting

Cites Work

• Calderón-Zygmund operators related to Jacobi expansions
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel

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