Jacobi Transform of (ν,γ,p)-Jacobi–Lipschitz Functions in the Space Lp(R+,Δ(α,β)(t)dt)

DOI10.15826/umj.2019.1.006zbMath1443.42005OpenAlexW2965824954MaRDI QIDQ5125229

Hamad Sidi Lafdal, N. Djellab, Mohamed El Hamma, Ch. Khalil

Publication date: 5 October 2020

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj74

zbMATH Keywords

Jacobi operatorJacobi transformgeneralized translation operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Growth properties of Fourier transforms via moduli of continuity
• Fourier transforms of Dini-Lipschitz functions
• The convolution structure for Jacobi function expansions
• Integrability theorems for Fourier-Jacobi transforms

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