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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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
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Online ISBN: 978-3-0348-8073-2
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