Trace formulae for dissipative and coupled scattering systems

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For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral shift function is expressed in terms of an abstract Titchmarsh-Weyl function and a variant of the Birman-Krein formula is proved.
38 pages

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Mathematical Physics, 47A40, 47A55, 47B44

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http://salesiana.dossiersoluciones.com/handle/123456789/144560

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.3120
 http://arxiv.org/abs/0712.3120

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arXiv