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Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for Operator-valued Symbols

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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 145))

Abstract

The usual expression for the secondary characteristic classes is regularized so that it fits for the case of Hilbert bundles. This gives index formulas for pseudodifferential operators with operator-valued symbols.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chalmers Univ. of Technology, S-41296, Göteborg, Sweden

    Grigori Rozenblum

Authors
  1. Grigori Rozenblum
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, Bonn, 53115, Germany

    Sergio Albeverio

  2. Institut für Mathematik, Technische Universität Clausthal, Clausthal-Zellerfeld, 38678, Germany

    Michael Demuth

  3. Institut für Mathematik, Universität Potsdam, Potsdam, 14415, Germany

    Elmar Schrohe  & Bert-Wolfgang Schulze  & 

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Rozenblum, G. (2003). Regularisation of Secondary Characteristic Classes and Unusual Index Formulas for Operator-valued Symbols. In: Albeverio, S., Demuth, M., Schrohe, E., Schulze, BW. (eds) Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations. Operator Theory: Advances and Applications, vol 145. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8073-2_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8073-2_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9429-6

  • Online ISBN: 978-3-0348-8073-2

  • eBook Packages: Springer Book Archive

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