On the completeness of generalized eigenfunctions of elliptic cone operators
Thomas Krainer
TL;DR
This paper proves the completeness of generalized eigenfunctions for elliptic cone operators' closed extensions, under certain symbol conditions, advancing the spectral theory of such operators.
Contribution
It establishes the completeness of generalized eigenfunctions for elliptic cone operators under specific symbol conditions, a significant step in understanding their spectral properties.
Findings
Completeness of eigenfunctions is proven under certain conditions.
Provides conditions on symbols for spectral completeness.
Advances spectral analysis of elliptic cone operators.
Abstract
We show the completeness of the system of generalized eigenfunctions of closed extensions of elliptic cone operators under suitable conditions on the symbols.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Algebraic and Geometric Analysis · Numerical methods in inverse problems