Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator

Lakhdar T. Rachdi, F. Meherzi

Type: Article

Publication Date: 2016-12-27

Citations: 13

DOI: https://doi.org/10.1007/s00009-016-0834-1

View Publication

Locations

Mediterranean Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Shapiro’s uncertainty principle and localization operators associated to the continuous wavelet transform	2016	Nadia Ben Hamadi H. Lamouchi
+	Polar Wavelet Transform and the Associated Uncertainty Principles	2018	Firdous A. Shah Azhar Y. Tantary
+ PDF Chat	Correction to: Clifford Wavelet Transform and the Uncertainty Principle	2020	Hicham Banouh Anouar Ben Mabrouk Mhamed Kesri
+	Harmonic Analysis, Generalized Wavelets and the Generalized Continuous Wavelet Transform Associated with the Spherical Mean Operator	2019	Khalifa Trimèche
+	Nazarov’s uncertainty principle for linear canonical wavelet transform	2024	Mawardi Bahri
+	Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator	2013	H. Mejjaoli and Y. Othmani
+	On the uncertainty principle for Meyer wavelet functions	2012	Elena A. Lebedeva
+	Wavelet and Weyl Transforms Associated with the Spherical Mean Operator	2004	Jiman Zhao Lizhong Peng
+	Some uncertainty inequalities for the continuous wavelet transform	2021	Fatima Alhajji Saifallah Ghobber
+	Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator	2013	Hatem Hatem Mejjaoli Youssef Othmani
+	A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator	2023	Khaled Hleili
+	Calderón’s reproducing formula and uncertainty principle for the continuous wavelet transform associated with the q-Bessel operator	2017	Bochra Nefzi Kamel Brahim
+	The continuous quaternion algebra-valued wavelet transform and the associated uncertainty principle	2021	Youssef El Haoui
+	Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform	2022	Abdelaali Dades Radouan Daher Othman Tyr
+	An uncertainty principle for the basic wavelet transform	2021	Javid Ahmad Ganie Renu Jain
+	Spherical wavelet transform and its discretization	1996	Willi Freeden Ulrich Windheuser
+ PDF Chat	Logarithmic uncertainty principle for Clifford-wavelet transform	2024	Sabrine Arfaoui Hicham Banouh Anouar Ben Mabrouk
+	Uncertainty principles for continuous wavelet transforms related to the Riemann–Liouville operator	2017	Lakhdar T. Rachdi Hajer Herch
+	Uncertainty Principles for the Continuous Dunkl Gabor Transform and the Dunkl Continuous Wavelet Transform	2008	Hatem Mejjaoli Nadia Sraieb
+	Linear canonical wavelet transform and the associated uncertainty principles	2022	Bivek Gupta Amit Verma Carlo Cattani

Works That Cite This (12)

Action	Title	Year	Authors
+	The Poisson Convolution Associated with the Spherical Mean Operator	2023	Besma Amri
+	Toeplitz Operators for Wavelet Transform Related to the Spherical Mean Operator	2018	Besma Amri
+	Spectral Theorems Associated with the Spherical Mean Two-Wavelet Localization Operators	2018	Hatem Mejjaolı Khalifa Trimèche
+	Chen–Ricci inequality for warped products in Kenmotsu space forms and its applications	2019	Abdulqader Mustafa Siraj Uddin Falleh R. Al‐Solamy
+ PDF Chat	A sharp Clifford wavelet Heisenberg-type uncertainty principle	2020	Hicham Banouh Anouar Ben Mabrouk
+ PDF Chat	Clifford Wavelet Transform and the Uncertainty Principle	2019	Hicham Banouh Anouar Ben Mabrouk Mhamed Kesri
+	Chen’s <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si5.svg"><mml:mi>δ</mml:mi></mml:math>-invariants type inequalities for bi-slant submanifolds in generalized Sasakian space forms	2020	Siraj Uddin Mohamd Saleem Lone Mehraj Ahmad Lone
+	Nazarov’s uncertainty principle for linear canonical wavelet transform	2024	Mawardi Bahri
+ PDF Chat	On warped product bi-slant submanifolds of Kenmotsu manifolds	2019	Siraj Uddin Ion Mihai Adela Mihai
+	Heisenberg type uncertainty principle for the Gabor spherical mean transform	2020	Aymen Hammami Lakhdar T. Rachdi

Works Cited by This (15)

Action	Title	Year	Authors
+	Generalisations of Heisenberg's inequality	1983	Michael Cowling John Price
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	On the Determination of a Function from Spherical Averages	1988	Lars‐Erik Andersson
+	Wavelet and Weyl Transforms Associated with the Spherical Mean Operator	2004	Jiman Zhao Lizhong Peng
+	Heisenberg-Pauli-Weyl Uncertainty Principle for the Spherical Mean Operator	2010	N. Msehli Lakhdar T. Rachdi
+	Wavelets on Hypergroups	1998	Khalifa Trimèche
+	WEYL TRANSFORMS ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR	2003	Lakhdar T. Rachdi Khalifa Trimèche
+	Inversion of<i>N</i>-Dimensional Spherical Averages	1985	John A. Fawcett
+	Ranges and Inversion Formulas for Spherical Mean Operator and Its Dual	1995	M.M. Nessibi Lakhdar T. Rachdi Khalifa Trimèche
+	Time–frequency concentration of the windowed Hankel transform	2014	Saifallah Ghobber Slim Omri