Benedicks-Amrein-Berthier type theorem and local uncertainty principles in Clifford algebras

DOI10.1007/s12215-021-00669-9OpenAlexW3198926007MaRDI QIDQ2687388

Othman Tyr, Radouan Daher

Publication date: 2 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00669-9

zbMATH Keywords

Clifford algebrasClifford-Fourier transformannihilating pairsDonoho-Stark's local uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on hypergroups (43A62) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Clifford algebras, spinors (15A66)

Related Items (4)

Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform ⋮ Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮ Beurling's theorem in the Clifford algebras ⋮ A new uncertainty principle related to the generalized quaternion Fourier transform

Cites Work

• Unnamed Item
• Unnamed Item
• Strong annihilating pairs for the Fourier-Bessel transform
• Benedicks-Amrein-Berthier type theorem related to Weinstein transform
• The recovery of distorted band-limited signals
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• On support properties of Lsup(p)-functions and their Fourier transforms
• Donoho-Stark's uncertainty principles in real Clifford algebras
• Benedicks-Amrein-Berthier type theorem related to Opdam-Cherednik transform
• General two-sided quaternion Fourier transform, convolution and mustard convolution
• The Clifford-Fourier transform
• Quaternion and Clifford Fourier Transforms and Wavelets
• Square Roots of –1 in Real Clifford Algebras
• Uncertainty Principles and Signal Recovery
• Inequalities and local uncertainty principles
• Sharp local uncertainty inequalities
• Special relativistic Fourier transformation and convolutions
• Uncertainty principles for integral operators
• Time–frequency concentration of the windowed Hankel transform

This page was built for publication: Benedicks-Amrein-Berthier type theorem and local uncertainty principles in Clifford algebras