Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions
Analysis of PDEs
2021-04-20 v1
Abstract
We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type. The composition of different quantizations as well as the transpose of a quantization are also analysed, with applications to the Weyl calculus. We also compare global -hypoellipticity and global -regularity of these classes of pseudodifferential operators.
Keywords
Cite
@article{arxiv.2104.09198,
title = {Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions},
author = {Vicente Asensio},
journal= {arXiv preprint arXiv:2104.09198},
year = {2021}
}