Harmonic analysis associated to the canonical Fourier Bessel transform

DOI10.1080/10652469.2020.1823977zbMath1472.42007OpenAlexW3089740039MaRDI QIDQ4959460

Lazhar Dhaouadi, Ahmed Fitouhi, Jihed Sahbani

Publication date: 13 September 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1823977

zbMATH Keywords

uncertainty principlelinear canonical transformFourier Bessel transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

Linear canonical deformed Hankel transform and the associated uncertainty principles ⋮ Moduli of smoothness and generalized canonical Fourier-Bessel differential operator on the half-line ⋮ Canonical Fourier-Bessel transform and their applications ⋮ Generalized translation and convolution associated to the linear canonical Fourier–Jacobi transform ⋮ Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform ⋮ Hardy type theorems for linear canonical Dunkl transform ⋮ Linear canonical Fourier–Bessel wavelet transform: properties and inequalities ⋮ Prolate spheroidal wave functions associated with the canonical Fourier–Bessel transform and uncertainty principles ⋮ Quantitative uncertainty principles for the canonical Fourier-Bessel transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• A unified class of integral transforms related to the Dunkl transform
• Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line
• Recent developments in the theory of the fractional Fourier and linear canonical transforms
• A fractional power theory for Hankel transform in \(L^ 2(\mathbb{R}^ +)\)
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Inequalities in Fourier analysis
• The uncertainty principle: A mathematical survey
• Continuity of Solutions of Parabolic and Elliptic Equations
• Canonical transforms. I. Complex linear transforms
• An uncertainty principle for Hankel transforms
• Pitt's Inequality and the Uncertainty Principle
• Eigenfunctions of linear canonical transform
• Variations on uncertainty principles for integral operators
• Linear Canonical Transformations and Their Unitary Representations

This page was built for publication: Harmonic analysis associated to the canonical Fourier Bessel transform