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Spectral shift function, amazing and multifaceted

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Abstract

Several formula representations for the I. M. Lifshits — M. G. Kreîn spectral shift function (SSF) are discussed and intercompared. It is pointed out that the equivalence of these representations is not apparent, and different properties of the SSF are revealed by different formulas. The presentation is informal and contains no proofs.

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Authors and Affiliations

  1. Department of Physics, St.-Petersburg State University, 198904, St.-Petersburg, Russia

    M. Sh. Birman & A. B. Pushnitski

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  1. M. Sh. Birman
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  2. A. B. Pushnitski
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To the memory of the great mathematician Mark Grigor'evich Kreîn

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Birman, M.S., Pushnitski, A.B. Spectral shift function, amazing and multifaceted. Integr equ oper theory 30, 191–199 (1998). https://doi.org/10.1007/BF01238218

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