The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited
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Publication:402288
DOI10.4171/JST/73zbMath1311.34169OpenAlexW1976012926MaRDI QIDQ402288
Alexander I. Nazarov, Pavel B. Zatitskiy, Dmitriy M. Stolyarov
Publication date: 27 August 2014
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jst/73
General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items (10)
\(L_\mu\to L_\nu\) equiconvergence of spectral decompositions for a Dirac system with \(L_\kappa\) potential ⋮ Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces ⋮ A general trace formula for a differential operator on a segment with zero order coefficient perturbed by a finite signed measure ⋮ Trace formula for a high-order differential operator on an interval under a perturbation of the lower-order term by a finite charge ⋮ Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces ⋮ A trace formula for higher order ordinary differential operators
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