Weighted integrability of Fourier–Jacobi transforms

DOI10.1080/10652469.2022.2140801zbMath1525.44004OpenAlexW4308531383MaRDI QIDQ6106399

Sergey S. Volosivets

Publication date: 27 June 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2140801

zbMATH Keywords

weighted integrabilitygeneralized Lipschitz spacesFourier-Jacobi transform

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Weighted integrability results for first Hankel-Clifford transform ⋮ Sufficient conditions for the weighted integrability of Fourier–Laguerre transforms

Cites Work

• Sufficient conditions for the Lebesgue integrability of Fourier transforms
• Growth properties of Fourier transforms via moduli of continuity
• On absolutely convergent Fourier series
• Functions of bounded \(p\)-variation and weighted integrability of Fourier transforms
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The convolution structure for Jacobi function expansions
• On the Hankel transform of functions from Nikol'ski type classes
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Jackson's type direct theorems
• Integrability of the Fourier–Jacobi transform of functions satisfying Lipschitz and Dini–Lipschitz-type estimates
• Fourier-Bessel transforms and generalized uniform Lipschitz classes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weighted integrability of Fourier–Jacobi transforms