Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup

DOI10.1016/j.jmaa.2020.123996zbMath1453.42013arXiv1806.00056OpenAlexW3008540335MaRDI QIDQ776912

Alberto Arenas, Edgar Labarga, Óscar Ciaurri

Publication date: 13 July 2020

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

Full work available at URL: https://arxiv.org/abs/1806.00056

zbMATH Keywords

heat equationJacobi matricesJacobi polynomialsdiscrete Calderón-Zygmund theorydiscrete harmonic analysis

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Heat equation (35K05)

Related Items (5)

Space-time fractional diffusion equation associated with Jacobi expansions ⋮ Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers ⋮ Variation and oscillation for semigroups associated with discrete Jacobi operators ⋮ Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials ⋮ Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform

Uses Software

• DLMF

Cites Work

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• Calderón-Zygmund operators related to Jacobi expansions
• Discrete harmonic analysis associated with ultraspherical expansions
• Weighted estimates for the Hankel transform transplantation operator
• Convolution structures associated with orthogonal polynomials
• Harmonic analysis associated with a discrete Laplacian
• vector-valued singular integrals and maximal functions on spaces of homogeneous type
• Transplantation theorems and multiplier theorems for Jacobi series
• Linearization of the Product of Jacobi Polynomials. I
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Linearization of the Product of Jacobi Polynomials. II

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