Weighted approximation for the generalized discrete Fourier-Jacobi transform on space \(L_p(\mathbb{T})\)

DOI10.1007/s11868-020-00368-6zbMath1461.43003OpenAlexW3086739888MaRDI QIDQ2210477

Radouan Daher, Othman Tyr

Publication date: 6 November 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00368-6

zbMATH Keywords

Fourier-Jacobi expansiongeneralized translation operatorLipschitz classTitchmarsh theorem

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

Discrete Jacobi-Dunkl transform and approximation theorems ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates

Cites Work

• Fourier transforms of Dini-Lipschitz functions
• Summability of product Jacobi expansions
• Uniform convergence of Fourier--Jacobi series.
• Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
• Positivity and the convolution structure for Jacobi series
• The convolution structure for Jacobi function expansions
• Approximation processes for fourier-jacobi expansions^†
• Fourier-Jacobi harmonic analysis and approximation of functions
• A Convolution Structure for Jacobi Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weighted approximation for the generalized discrete Fourier-Jacobi transform on space \(L_p(\mathbb{T})\)