Pseudo-differential calculus in anisotropic Gelfand-Shilov setting
Functional Analysis
2018-05-10 v1
Abstract
We study some classes of pseudo-differential operators with symbols admitting anisotropic exponential growth at infinity and we prove mapping properties for these operators on Gelfand-Shilov spaces of type S. Moreover, we deduce algebraic and certain invariance properties of these classes.
Keywords
Cite
@article{arxiv.1805.03497,
title = {Pseudo-differential calculus in anisotropic Gelfand-Shilov setting},
author = {Ahmed Abdeljawad and Marco Cappiello and Joachim Toft},
journal= {arXiv preprint arXiv:1805.03497},
year = {2018}
}
Comments
32 pages. This is the first version. Some revisions in the near future is expected to be performed