Non-integrable multipliers for the Jacobi transform

DOI10.1080/10652469.2012.708866zbMath1274.44009arXiv1108.3760OpenAlexW1973229128WikidataQ124851588 ScholiaQ124851588MaRDI QIDQ2841938

Troels Rousseau Johansen

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3760

zbMATH Keywords

asymptotic expansionJacobi transformChébli-Trimèche hypergroups

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Multipliers in one variable harmonic analysis (42A45) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Hypergroups (20N20)

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Expansions for spherical functions on noncompact symmetric spaces
• Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces
• Singular integrals on symmetric spaces of real rank one
• Harmonic analysis for certain representations of graded Hecke algebras
• An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• Almost everywhere convergence of the inverse Jacobi transform and endpoint results for a disc multiplier
• L ^p -multipliers for Noncompact Symmetric Spaces
• Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups