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$L^p$ versions of Hardy's uncertainty principle on hyperbolic spaces.

Authors :
Nils Byrial Andersen
Source :
Proceedings of the American Mathematical Society; Sep2003, Vol. 131 Issue 9, p2797-2807, 11p
Publication Year :
2003

Abstract

Hardy's uncertainty principle states that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. In this paper we prove $L^p$ versions of this principle for the Jacobi transform and for the Fourier transform on real hyperbolic spaces. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
131
Issue :
9
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
18398575
Full Text :
https://doi.org/10.1090/S0002-9939-03-07006-0