Abstract.
For a holomorphic family of classical pseudodifferential operators on a closed manifold we give exact formulae for all coefficients in the Laurent expansion of its Kontsevich–Vishik canonical trace. This generalizes to all higher-order terms a known result identifying the residue trace with a pole of the canonical trace.
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Received: July 2005 Revision: December 2005 Accepted: January 2006
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Paycha, S., Scott, S. A Laurent Expansion for Regularized Integrals of Holomorphic Symbols. GAFA, Geom. funct. anal. 17, 491–536 (2007). https://doi.org/10.1007/s00039-007-0597-8
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DOI: https://doi.org/10.1007/s00039-007-0597-8