A qualitative uncertainty principle for semisimple Lie groups

Cowling, Michael ; Price, John F. ; Sitaram, Alladi (1988) A qualitative uncertainty principle for semisimple Lie groups Journal of the Australian Mathematical Society, Series A, 45 (1). pp. 127-132. ISSN 0334-3316

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Related URL: http://dx.doi.org/10.1017/S144678870003233X

Abstract

Recently M. Benedicks showed that if a function f∈L2 (Rd) and its Fourier transform both have supports of finite measure, then f=0 almot everywhere. In this paper we give a version of this result for all noncompact semisimple connected Lie groups with finite centres.

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Source:Copyright of this article belongs to Australian Mathematical Society.
ID Code:53496
Deposited On:10 Aug 2011 09:49
Last Modified:18 May 2016 06:35

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