Weyl composition of symbols in large dimension
Analysis of PDEs
2013-07-19 v1
Abstract
This paper is concerned with the Weyl composition of symbols in large dimension. We specify a class of symbols in order to estimate the Weyl symbol of the product of two Weyl pseudodifferential operators, with constants independent of the dimension. The proof includes a regularized and a hybrid compositions together with a decomposition formula. We also analyze in this context the remainder term of the semiclassical expansion of the Weyl composition.
Keywords
Cite
@article{arxiv.1307.5000,
title = {Weyl composition of symbols in large dimension},
author = {Laurent Amour and Jean Nourrigat},
journal= {arXiv preprint arXiv:1307.5000},
year = {2013}
}