Iberoamerica.
Федеральное государственное бюджетное учреждение науки Институт Латинской Америки Российской академии наук.
2021.
P. 5-29
Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms
We consider the operator algebra generated by pseudodifferential operators on a closed smooth surface and shift operators induced by a Morse– Smale diffeomorphism of this surface. The elements of this algebra are considered as operators in the scale of Sobolev spaces, and the aim of this paper is to describe how the Fredholm property depends on the Sobolev smoothness exponent. © 2021, Springer Nature Switzerland AG.
Authors
Izvarina N.R.
1
,
Savin A.Y.
1,
2
Collection of articles
Publisher
Springer International Publishing
Language
English
Pages
202-220
Status
Published
Year
2021
Organizations
- 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
- 2 Institut für Analysis, Leibniz University of Hannover, Welfengarten 1, Hannover, 30167, Germany
Keywords
elliptic operator; Fredholm operator; Morse–Smale diffeomorphism; shift operator; Sobolev space
Date of creation
06.07.2022
Date of change
06.07.2022
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Studia Universitatis Babes-Bolyai Mathematica.
Babes-Bolyai University.
Vol. 66.
2021.
P. 613-627