Boas-type theorems for the Bessel transform

DOI10.1007/S13398-021-01087-3zbMath1471.42052OpenAlexW3172724133WikidataQ113899233 ScholiaQ113899233MaRDI QIDQ2050211

EL. Loualid, Radouan Daher, Abdelghani Elgargati, El Mehdi Berkak

Publication date: 30 August 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01087-3

zbMATH Keywords

generalized functionLipschitz conditionBessel transformBoas theorems

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Lipschitz (Hölder) classes (26A16) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

Boas-type theorems for Laguerre type operator ⋮ Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Boas-type results for Mellin transform ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes ⋮ Laguerre-Bessel transform and generalized Lipschitz classes ⋮ Boas type and Titchmarsh type theorems for generalized Fourier-Bessel transform ⋮ Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Fourier-Dunkl transforms and generalized symmetric Lipschitz classes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absolutely convergent Fourier series and function classes
• Absolutely convergent Fourier integrals and classical function spaces
• Absolutely convergent Fourier series, classical function classes and Paley's theorem
• Higher order Lipschitz classes of functions and absolutely convergent Fourier series
• Approximation of functions by the Fourier-Bessel sums
• On generalized Lipschitz classes and Fourier series
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric
• Smoothness conditions and Fourier series
• Quaternionic analysis
• Uncertainty principles for the Hankel transform

This page was built for publication: Boas-type theorems for the Bessel transform