About the spectrum and the trace formula for the operator Bessel equation

DOI10.1007/s11202-010-0059-7zbMath1220.34107OpenAlexW2117519603MaRDI QIDQ630280

Nigar M. Aslanova

Publication date: 17 March 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0059-7

zbMATH Keywords

resolventdiscrete spectrumtrace formularegularized trace

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Eigenvalue problem associated with the fourth order differential-operator equation, Some spectral properties of fourth order differential operator equation, The regularized trace of a self adjoint differential operator of higher order with unbounded operator coefficient

Cites Work

• Asymptotic behavior of the eigenvalues of a boundary-value problem for a second-order elliptic operator-differential equation
• Traces of operators
• Traces of operators with relatively compact perturbations
• A Table of Ramanujan's Function τ(n )
• Asymptotic distribution of the eigenvalues of some boundary-value problems for Sturm-Liouville operator equations
• Trace formula for Sturm-Liouville operators with singular potentials
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