\(L^p\) local uncertainty principles for the Dunkl Gabor transform on \(\mathbb{R}^d \)

DOI10.1007/s40590-020-00297-wzbMath1451.42017OpenAlexW3039123611MaRDI QIDQ2210333

Hatem Mejjaoli, Nadia Sraieb, Khalifa Trimèche

Publication date: 5 November 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-020-00297-w

zbMATH Keywords

Dunkl Gabor transformlocal uncertainty principles

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General integral transforms (44A05)

Related Items (2)

Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform ⋮ Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\)

Cites Work

• Uncertainty principles for the Dunkl transform
• Heisenberg inequalities for Jacobi transforms
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
• The Dunkl transform
• The uncertainty principle: A mathematical survey
• Inversion of the Dunkl intertwining operator and its dual using Dunkl wavelets.
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Inversion theorem and quantitative uncertainty principles for the Dunkl Gabor transform on \({\mathbb{R}}^d\)
• Uncertainty principles for the continuous Dunkl Gabor transform and the Dunkl continuous wavelet transform
• Uncertainty Principles and Signal Recovery
• Practical inversion formulas for the Dunkl–Gabor transform on ℝ^d
• Inequalities and local uncertainty principles
• Sharp local uncertainty inequalities
• Differential-Difference Operators Associated to Reflection Groups
• Local Uncertainty Inequalities for Locally Compact Groups
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• Heisenberg-type inequalities for the Weinstein operator
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(L^p\) local uncertainty principles for the Dunkl Gabor transform on \(\mathbb{R}^d \)