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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
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2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
Koplienko Trace Formula
Koplienko Trace Formula Functional Analysis
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2012/4/17
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...
Lefschetz trace formula for open adic spaces
Lefschetz trace formula adic spaces
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2010/11/12
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 dielectric cavities Regular pseudo-integrable chaotic examples
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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
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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
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2010/11/1
We prove a Duistermaat-Guillemin trace formula for transversally elliptic operators on a compact foliated manifold.