2019/01/15 by N. R. Izvarina, Izvarina, N. R., A. Yu. Savin +1
Computer Science · Mathematics · #58J40 (Primary) 46L55 47A53 (Secondary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1901.05304
openalex publication_date 2019/01/15 · openalex created_date 2019/01/25 · openalex updated_date 2026/07/28
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 s.