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Support theorems on R-n and non-compact symmetric spaces

Narayanan, EK and Samanta, Amit (2010) Support theorems on R-n and non-compact symmetric spaces. In: Journal of Functional Analysis, 259 (10). pp. 2587-2612.

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Official URL: http://dx.doi.org/10.1016/j.jfa.2010.07.019

Abstract

We consider convolution equations of the type f * T = g, where f, g is an element of L-P (R-n) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fourier transform of T, we show that f is compactly supported, provided g is. Similar results are proved for non-compact symmetric spaces as well. (C) 2010 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right of this article belongs to Elsevier Science.
Keywords: Support theorems; Paley-Wiener theorems; Analytic sets; Symmetric spaces; Spherical Fourier transform.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 20 Sep 2010 09:59
Last Modified: 20 Sep 2010 09:59
URI: http://eprints.iisc.ernet.in/id/eprint/32254

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