ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

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.

[img] PDF
approx.pdf - Published Version
Restricted to Registered users only

Download (239kB) | Request a copy
Official URL: http://www.springerlink.com/content/07673763327445...


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
Publication: Israel Journal of Mathematics
Publisher: Springer
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.ac.in/id/eprint/16851

Actions (login required)

View Item View Item