Fourier analysis associated to a vector measure on a compact group
Functional Analysis
2019-05-30 v1
Abstract
In this paper, we introduce and study the Fourier transform of functions which are integrable with respect to a vector measure on a compact group (not necessarily abelian). We also study the Fourier transform of vector measures. We also introduce and study the convolution of functions from -spaces associated to a vector measure. We prove some analogues of the classical Young's inequalities. Similarly, we also study convolution of a scalar measure and a vector measure.
Cite
@article{arxiv.1905.12209,
title = {Fourier analysis associated to a vector measure on a compact group},
author = {Manoj Kumar and N. Shravan Kumar},
journal= {arXiv preprint arXiv:1905.12209},
year = {2019}
}
Comments
22 pages