Narayanan, E. K. ; Sitaram, Alladi (2011) Analogues of the Wiener Tauberian and Schwartz theorems for radial functions on symmetric spaces Pacific Journal of Mathematics, 249 (1). pp. 199-210. ISSN 0030-8730
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Official URL: http://msp.org/pjm/2011/249-1/p10.xhtml
Related URL: http://dx.doi.org/10.2140/pjm.2011.249.199
Abstract
We prove a Wiener Tauberian theorem for the L1 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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Mathematical Sciences Publishers. |
| Keywords: | Wiener Tauberian Theorems; Schwartz Theorems; Maximal Ideals; Schwartz Space |
| ID Code: | 108956 |
| Deposited On: | 13 Jun 2017 06:35 |
| Last Modified: | 13 Jun 2017 06:35 |
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