On elliptic differential operators with shifts
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
TL;DR
This paper derives an index formula for elliptic differential operators that incorporate shifts from an infinite group, advancing the understanding of such operators in mathematical analysis.
Contribution
It introduces a novel index formula for elliptic operators with coefficients involving shifts from an infinite group, expanding the theoretical framework.
Findings
Derived an explicit index formula for elliptic operators with shifts
Extended index theory to operators with infinite group shifts
Provided mathematical tools for analyzing such operators
Abstract
We give an index formula for elliptic differential operators whose coefficients include shifts forming an infinite group.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Operator Algebra Research · advanced mathematical theories