Strong ultra-regularity properties for positive elements in the twisted convolutions
Functional Analysis
2016-09-13 v1
Abstract
We show that positive elements with respect to the twisted convolutions, belonging to some ultra-test function space of certain order at origin, belong to the ultra-test function space of the same order everywhere. We apply the result to positive semi-definite Weyl operators.
Keywords
Cite
@article{arxiv.1609.03303,
title = {Strong ultra-regularity properties for positive elements in the twisted convolutions},
author = {Yuanyuan Chen},
journal= {arXiv preprint arXiv:1609.03303},
year = {2016}
}