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arxiv: math/0701301 · v1 · submitted 2007-01-10 · 🧮 math.SP · math.FA

Perturbation determinants, the spectral shift function, trace identities, and all that

classification 🧮 math.SP math.FA
keywords functionidentitiesodingeroperatorschrshiftspectraltrace
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We discuss applications of the M. G. Kre\u{\i}n theory of the spectral shift function to the multi-dimensional Schr\"odinger operator as well as specific properties of this function, for example, its high-energy asymptotics. Trace identities for the Schr\"odinger operator are derived.

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