An analogue of the Gelfand-Levitan trace formula for the Sturm-Liouville operator with a meromorphic potential

DOI10.1134/S1995080222090104MaRDI QIDQ2095841

Kh. K. Ishkin, L. Davletova

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularized tracesSturm-Liouville equationspectrum localizationGelfand-Levitan trace formula(non)trivial monodromy

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03) Spectral theory for ordinary differential operators in the complex domain (34M46)

Cites Work

• Differential equations in the spectral parameter
• On the spectral instability of the Sturm-Liouville operator with a complex potential
• Zeros of entire functions of a certain class
• On the class of potentials with trivial monodromy
• Regularized trace of a Sturm-Liouville operator on a curve with a regular singularity on the chord
• On the uniqueness criterion for solutions of the Sturm-Liouville equation
• Necessary conditions for the localization of the spectrum of the Sturm-Liouville problem on a curve
• Localization criterion for the spectrum of the Sturm–Liouville operator on a curve
• Integral transforms connected with differential operators having singularities inside the interval
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An analogue of the Gelfand-Levitan trace formula for the Sturm-Liouville operator with a meromorphic potential