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Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
Sturm-Liouville eigenvalue applications n-body problem
2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternati...
In this article, we discuss the Lefschetz trace formula for an adic space which is separated smooth of finite type but not necessarily proper over an algebraically closed non-archimedean field. Under...
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula for dielectric cavities pseudo-integrable chaotic examples
2010/10/27
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula dielectric cavities Regular pseudo-integrable chaotic examples
2010/12/16
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...
The Trace Formula for a Differential Operator of Fourth Order With Bounded Operator Coefficients and Two Terms
Hilbert Space Self-adjoint operator Kernel operator Spectrum Essential spectrum Resolvent
2010/2/26
We investigate the spectrum of a di erential operator of fourth order with
bounded operator coecients and nd a formula for the trace of this operator.
The trace formula for transversally elliptic operators on Riemannian foliations
The trace formula transversally elliptic Riemannian foliations
2010/11/1
We prove a Duistermaat-Guillemin trace formula for transversally elliptic operators on a compact foliated manifold.