Parui, Sanjay ; Thangavelu, Sundaram (2009) On theorems of Beurling and Hardy for certain step two nilpotent groups Integral Transforms and Special Functions, 20 (2). pp. 127-145. ISSN 1065-2469
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Official URL: http://www.tandfonline.com/doi/abs/10.1080/1065246...
Related URL: http://dx.doi.org/10.1080/10652460802503595
Abstract
In this paper we prove Hardy's theorem and a version of Cowling-Price theorem for all step two nilpotent Lie groups using Beurling's theorem on Euclidean space. Also a version of Beurling's theorem is proved for all step two nilpotent Lie groups.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | Fourier Transform; Weyl Transform; Hilbert-schmidt Operators; Nilpotent Lie Groups; Heat Kernel; Hermite and Special Hermite Functions |
| ID Code: | 64409 |
| Deposited On: | 10 Oct 2011 06:03 |
| Last Modified: | 18 May 2016 12:51 |
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