Sitaram, A. ; Sundari, M. (1997) An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups Pacific Journal of Mathematics, 177 (1). pp. 187-200. ISSN 0030-8730
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Official URL: http://msp.org/pjm/1997/177-1/p11.xhtml
Related URL: http://dx.doi.org/10.2140/pjm.1997.177.187
Abstract
We generalise a result of Hardy, which asserts the impossibility of a function and its Fourier transform to be simultaneously “very rapidly decreasing” to: (i) all noncompact, semi-simple Lie groups with one conjugacy class of Cartan subgroups; (ii) SL(2, R); and (iii) all symmetric spaces of the noncompact type.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Mathematical Sciences Publishers. |
| ID Code: | 108969 |
| Deposited On: | 14 Jun 2017 04:17 |
| Last Modified: | 14 Jun 2017 04:17 |
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