On the closure of elliptic wedge operators
Juan B. Gil, Thomas Krainer, and Gerardo A. Mendoza
TL;DR
This paper establishes a semi-Fredholm theorem for elliptic wedge operators on manifolds with singularities and provides an asymptotic expansion of the resolvent trace under certain conditions.
Contribution
It introduces a semi-Fredholm framework for minimal extensions of elliptic wedge operators and derives detailed asymptotic trace expansions.
Findings
Semi-Fredholm theorem for elliptic wedge operators
Asymptotic expansion of the resolvent trace
Conditions for full asymptotic expansion
Abstract
We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Holomorphic and Operator Theory · Advanced Operator Algebra Research