Operator Symbols and Operator Indices

Symmetry

Vladimir Vasilyev¹ 

[1] Department of Applied Mathematics and Computer Modeling, Belgorod State National Research University, Pobedy Street 85, 308015 Belgorod, Russia;

关键词: local operator;    symbol;    index;    pseudo-differential operator;    fredholm property;   

DOI  :  10.3390/sym12010064

来源: DOAJ

【 摘 要 】

We suggest a certain variant of symbolic calculus for special classes of linear bounded operators acting in Banach spaces. According to the calculus we formulate an index theorem and give applications to elliptic pseudo-differential operators on smooth manifolds with non-smooth boundaries.

【 授权许可】

Unknown