Spectral analysis on SL(2, R)

Pusti, Sanjoy and Sarkar, Rudra P (2013) Spectral analysis on SL(2, R). In: MANUSCRIPTA MATHEMATICA, 140 (1-2). pp. 13-28.

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Abstract

Let G be the group . For this group we prove a version of Schwartz's theorem on spectral analysis for the group G. We find the sharp range of Lebesgue spaces L (p) (G) for which a smooth function is not mean periodic unless it is a cusp form. Failure of the Schwartz-like theorem is also proved when C (a)(G) is replaced by L (p) (G) with suitable p. We show that the last result is linked with the failure of the Wiener-tauberian theorem for G.

Item Type:	Journal Article
Publication:	MANUSCRIPTA MATHEMATICA
Publisher:	SPRINGER
Additional Information:	Copy right for this article belongs to SPRINGER, NEW YORK
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	05 Feb 2013 09:48
Last Modified:	05 Feb 2013 09:48
URI:	http://eprints.iisc.ac.in/id/eprint/45723

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