On asymptotic eigenvalue distribution and trace formula of second order operator-differential equation

DOI10.1515/APAM.2011.006zbMath1228.34141WikidataQ115236983 ScholiaQ115236983MaRDI QIDQ3006413

Nigar M. Aslanova

Publication date: 14 June 2011

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

discrete spectrumregularized traceBessel operatorseigenvalues asymptotics

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• A generalization of the trace concept
• Topological invariance of the Witten index
• A trace formula for multidimensional Schrödinger operators
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Trace formulas for the schroedinger operator
• Trace Formulas for Powers of a Sturm-Liouville Operator
• On the determination of a Hill's equation from its spectrum