Beals characterization of pseudodifferential operators in Wiener spaces
Analysis of PDEs
2015-07-10 v1
Abstract
The aim of this article is to prove a Beals type characterization theorem for pseudodifferential operators in Wiener spaces. The definition of pseudodifferential operators in Wiener spaces and a Calder\'on-Vaillancourt type result appear in [1]. The set of symbols considered here is the one of [1]. The Weyl calculus in infinite dimension considered here emphasizes the role of the Wick bi-symbols.
Keywords
Cite
@article{arxiv.1507.02567,
title = {Beals characterization of pseudodifferential operators in Wiener spaces},
author = {L. Amour and R. Lascar and J. Nourrigat},
journal= {arXiv preprint arXiv:1507.02567},
year = {2015}
}