An operator algebra associated with a pair of intersecting manifolds
Analysis of PDEs
2020-08-04 v1 Operator Algebras
Abstract
Given a pair of smooth transversally intersecting manifolds in some ambient manifold, we construct an operator algebra generated by pseudodifferential operators and the (co)boundary operators associated with the submanifolds. We show that this algebra has 18 types of additive generators. Then we define the symbols of the operators in this algebra and obtain the composition formula.
Cite
@article{arxiv.1804.04597,
title = {An operator algebra associated with a pair of intersecting manifolds},
author = {D. A. Loshchenova and A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:1804.04597},
year = {2020}
}
Comments
9 pages, no figures