Discrete spectrum of zero order pseudodifferential operators
Grigori Rozenblum
TL;DR
This paper investigates the eigenvalue asymptotics of a specific class of zero order pseudodifferential operators near the non-isolated points of their essential spectrum.
Contribution
It provides new asymptotic formulas for eigenvalues approaching non-isolated essential spectrum points for these operators.
Findings
Eigenvalue asymptotics derived for zero order pseudodifferential operators.
Results applicable to operators with non-isolated essential spectrum tips.
Enhanced understanding of spectral behavior near essential spectrum edges.
Abstract
For a class of zero order pseudodifferential operators we find the asymptotics of eigenvalues converging to a non-isolated tip of the essential spectrum.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems