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On the Range of the Radon Transform on Z n and the Related Volberg’s Uncertainty Principle
Joint Authors
Abouelaz, Ahmed
Ihsane, Abdallah
Kawazoe, Takeshi
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We characterize the image of exponential type functions under the discrete Radon transform R on the lattice Z n of the Euclidean space R n n ≥ 2 .
We also establish the generalization of Volberg's uncertainty principle on Z n , which is proved by means of this characterization.
The techniques of which we make use essentially in this paper are those of the Diophantine integral geometry as well as the Fourier analysis.
American Psychological Association (APA)
Abouelaz, Ahmed& Ihsane, Abdallah& Kawazoe, Takeshi. 2015. On the Range of the Radon Transform on Z n and the Related Volberg’s Uncertainty Principle. Journal of Mathematics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068679
Modern Language Association (MLA)
Abouelaz, Ahmed…[et al.]. On the Range of the Radon Transform on Z n and the Related Volberg’s Uncertainty Principle. Journal of Mathematics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1068679
American Medical Association (AMA)
Abouelaz, Ahmed& Ihsane, Abdallah& Kawazoe, Takeshi. On the Range of the Radon Transform on Z n and the Related Volberg’s Uncertainty Principle. Journal of Mathematics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068679
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068679