Operator Symbols and Operator Indices

被引：1
|
作者：
Vasilyev, Vladimir [1 ]
机构：
[1] Belgorod State Natl Res Univ, Dept Appl Math & Comp Modeling, Pobedy St 85, Belgorod 308015, Russia
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 01期
关键词：
local operator; symbol; index; pseudo-differential operator; Fredholm property; PSEUDODIFFERENTIAL-OPERATORS; EQUATIONS;
D O I：
10.3390/sym12010064
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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.
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页数：12
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