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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...
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...
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...
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.
We prove a Duistermaat-Guillemin trace formula for transversally elliptic operators on a compact foliated manifold.

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