The uncertainty principle in Clifford analysis
Classical Analysis and ODEs
2015-06-17 v1
Abstract
In this paper, we provide the Heisenberg's inequality and the Hardy's theorem for the Clifford-Fourier transform on Rm.
Keywords
Cite
@article{arxiv.1506.04921,
title = {The uncertainty principle in Clifford analysis},
author = {Jamel El Kamel and Rim Jday},
journal= {arXiv preprint arXiv:1506.04921},
year = {2015}
}
Comments
11 pages
Related papers
View all related →
Classical Analysis and ODEs · Mathematics
Uncertainty principles for the Clifford-Fourier transform
Jamel El Kamel, Rim Jday
2016-04-01
Classical Analysis and ODEs · Mathematics
Heisenberg's and Hardy's Uncertainty Principles in Real Clifford Algebras
Rim Jday
2017-11-08
Mathematical Physics · Physics
Clifford-wavelet Transform and the uncertainty principle
Hicham Banouh, Anouar Ben Mabrouk, Mohamed Kesri
2019-05-27
Classical Analysis and ODEs · Mathematics
The uncertainty principle for the two-sided quaternion Fourier transform
Youssef El Haoui, Said Fahlaoui
2019-10-08
Mathematical Physics · Physics
A sharp Clifford-wavelet Heisenberg-type uncertainty principle
Hicham Banouh, Anouar Ben Mabrouk
2020-06-09
Classical Analysis and ODEs · Mathematics
Donoho-Stark's Uncertainty Principles in Real Clifford Algebras
Youssef El Haoui, Said Fahlaoui
2019-10-08
Classical Analysis and ODEs · Mathematics
Beurling's theorem for the Clifford-Fourier transform
Rim Jday, Jamel El Kamel
2016-11-21
Mathematical Physics · Physics
Logarithmic uncertainty principle for Clifford-wavelet transform
Sabrine Arfaoui, Hicham Banouh, Anouar Ben Mabrouk
2024-04-04
Classical Analysis and ODEs · Mathematics
Hardy's Theorem for the $(k,\frac{2}{n})-$Fourier Transform
Hanen Jilani, Selma Negzaoui
2026-04-21
Classical Analysis and ODEs · Mathematics
Clifford wavelet transform and the associated Donoho-Stark's uncertainty Principle
Sabrine Arfaoui
2022-09-27
Quantum Algebra · Mathematics
Uncertainty Principles for the Fourier Transforms in Quantum Calculus
Neji Bettaibi, Ahmed Fitouhi, Wafa Binous
2016-09-07
Classical Analysis and ODEs · Mathematics
Uncertainty Principle Inequalities Related to Laguerre-Bessel Transform
Soumeya Hamem, Lotfi Kamoun
2011-05-30
Classical Analysis and ODEs · Mathematics
On the Clifford short-time Fourier transform and its properties
Antonino De Martino
2021-11-17
Classical Analysis and ODEs · Mathematics
The Clifford Deformation of the Hermite Semigroup
Hendrik De Bie, Bent Orsted, Petr Somberg, Vladimir Soucek
2013-02-06
Analysis of PDEs · Mathematics
Hardy inequalities and uncertainty principles in the presence of a black hole
Miltiadis Paschalis
2024-06-21
Differential Geometry · Mathematics
Uncertainty Principles on Harmonic Manifolds of Rank One
Oliver Brammen
2024-08-30
Functional Analysis · Mathematics
Uncertainty principles for the short-time Fourier transform on the lattice
Anirudha Poria, Aparajita Dasgupta
2024-09-10
Functional Analysis · Mathematics
A Hardy's Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra
Toshimitsu Takaesu
2015-05-19
Classical Analysis and ODEs · Mathematics
Weighted inequalities and uncertainty principles for the $\boldsymbol{(k,a)}$-generalized Fourier transform
Troels Roussau Johansen
2016-01-18
Functional Analysis · Mathematics
The uncertainty principle: variations on a theme
Avi Wigderson, Yuval Wigderson
2020-09-14
Mathematical Physics · Physics
N-dimensional Heisenberg's uncertainty principle for fractional Fourier transform
Zhichao Zhang
2019-06-14
Rings and Algebras · Mathematics
Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform
Eckhard Hitzer, Bahri Mawardi
2013-06-11
Functional Analysis · Mathematics
Weighted Norm Inequalities for the Strichartz Fourier transform on the Heisenberg Group
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti, Sundaram Thangavelu
2026-03-03
Functional Analysis · Mathematics
Heisenberg's uncertainty principle in the sense of Beurling
Haakan Hedenmalm
2013-11-11
Analysis of PDEs · Mathematics
Hardy's Uncertainty principle for Schr\"odinger equations with quadratic Hamiltonians
Elena Cordero, Gianluca Giacchi, Eugenia Malinnikova
2025-04-03