Convolution operators defined by singular measures on the motion group

Brandolini, Luca ; Gigante, Giacomo ; Thangavelu, Sundaram ; Travaglini, Giancarlo (2011) Convolution operators defined by singular measures on the motion group Indiana University Mathematics Journal . pp. 1-12. ISSN 0022-2518

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Abstract

This paper contains an Lp improving result for convolution oper- ators defined by singular measures associated to hypersurfaces on the motion group. This needs only mild geometric properties of the sur- faces, and it extends earlier results on Radon type transforms on Rn. The proof relies on the harmonic analysis on the motion group.

Item Type:Article
Source:Copyright of this article belongs to Indiana University.
Keywords:Mathematics; Functional Analysis; 42B10
ID Code:64410
Deposited On:10 Oct 2011 06:14
Last Modified:18 May 2016 12:51

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