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Approximation by K-finite functions in $L^p$ spaces

Narayanan, EK and Rawat, R and Ray, SK (2007) Approximation by K-finite functions in $L^p$ spaces. In: Israel Journal of Mathematics, 161 (1). pp. 187-207.

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Abstract

Let Gamma subset of R-n, n >= 2, be the boundary of a bounded domain. We prove that the translates by elements of Gamma of functions which transform according to a fixed irreducible representation of the orthogonal group from a dense class in L-p(R-n) for p >= 2n/n+1. A similar problem for noncompact symmetric spaces of rank one is also considered. We also study the connection of the above problem with the injective sets for weighted spherical mean operators.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Dec 2008 08:41
Last Modified: 19 Sep 2010 04:54
URI: http://eprints.iisc.ernet.in/id/eprint/16851

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