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Discrete spectrum of zero order pseudodifferential operators

Rozenblum Grigori

Opuscula Mathematica

2023

Vol. 43, no. 2

247--268

We study the rate of convergence of eigenvalues to the endpoints of essential spectrum for zero order pseudodifferential operators on a compact manifold.

Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1

Rozenblum G., Tashchiyan G.

Opuscula Mathematica

2018

Vol. 38, no. 5

733--758

For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.

On improved eigenvalue asymptotics for the Sturm-Liouville system

Chernyatin V.

Demonstratio Mathematica

1998

Vol. 31, nr 1

169-178

An improved asymptotic formula for eigenvalues o