On the ellipticity of operators associated with Morse-Smale diffeomorphisms
Differential Geometry
2019-01-17 v1 Analysis of PDEs
Operator Algebras
Abstract
We consider the operator algebra generated by pseudodifferential operators on a closed smooth surface and shift operator induced by a Morse--Smale diffeomorphism of this surface. Elements in this algebra are considered as operators in the scale of Sobolev spaces and the aim of this paper is to describe how Fredholm property of a given operator depends on the Sobolev smoothness exponent .
Keywords
Cite
@article{arxiv.1901.05304,
title = {On the ellipticity of operators associated with Morse-Smale diffeomorphisms},
author = {N. R. Izvarina and A. Yu. Savin},
journal= {arXiv preprint arXiv:1901.05304},
year = {2019}
}
Comments
5 pages, 1 figure