Vector-valued properties of the Weyl transform
Functional Analysis
2024-10-10 v2
Abstract
In this paper, we introduce and study the Weyl transform of functions which are integrable with respect to a vector measure on a phase space associated to a locally compact abelian group. We also study the Weyl transform of vector measures. Later, we also introduce and study the convolution of functions from -spaces associated to a vector measure. We also study the Weyl transform of vector-valued functions and prove a vector-valued analogue of the Hausdorff-Young inequality.
Keywords
Cite
@article{arxiv.2107.06027,
title = {Vector-valued properties of the Weyl transform},
author = {Ritika Singhal and N. Shravan Kumar},
journal= {arXiv preprint arXiv:2107.06027},
year = {2024}
}