Narayanan, EK and Sitaram, Alladi (2011) Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces. In: Pacific Journal of Mathematics, 249 (1). pp. 199-210.
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Official URL: http://pjm.math.berkeley.edu/pjm/2011/249-1/p10.xh...
Abstract
We prove a Wiener Tauberian theorem for the L-1 spherical functions on a semisimple Lie group of arbitrary real rank. We also establish a Schwartz-type theorem for complex groups. As a corollary we obtain a Wiener Tauberian type result for compactly supported distributions.
| Item Type: | Journal Article |
|---|---|
| Publication: | Pacific Journal of Mathematics |
| Publisher: | Mathematical Sciences Publishers |
| Additional Information: | Copyright of this article belongs to Mathematical Sciences Publishers. |
| Keywords: | Wiener Tauberian theorems; Schwartz theorems; maximal ideals; Schwartz space |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 03 Mar 2011 12:34 |
| Last Modified: | 14 Mar 2011 06:16 |
| URI: | http://eprints.iisc.ac.in/id/eprint/35794 |
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