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arXiv 2005-06-10 0 views

A Laurent expansion for regularised integrals of holomorphic symbols

Paycha, Sylvie · Scott, Simon

Original · EN

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 a known result identifying the Wodzicki residue with the pole at zero to all higher order terms.

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