Convolution operators defined by singular measures on the motion group

Details Convolution operators defined by singular measures on the motion group Convolution operators defined by singular measures on the motion group

2010-01-04

arxiv.org/abs/1001.0560v1

Mathematics

Functional Analysis

12 pages, 1 figure

Scientific paper

This paper contains an $L^{p}$ improving result for convolution operators
defined by singular measures associated to hypersurfaces on the motion group.
This needs only mild geometric properties of the surfaces, and it extends
earlier results on Radon type transforms on $\mathbb{R}^{n}$. The proof relies
on the harmonic analysis on the motion group.

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