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A Laurent expansion for regularised integrals of holomorphic symbols

Sylvie Paycha·Simon Scott
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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 a known result identifying the Wodzicki residue with the pole at zero to all higher order terms.

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Sylvie Paycha, Simon Scott. 2006-01-16. A Laurent expansion for regularised integrals of holomorphic symbols. https://arxiv.org/abs/math/0506211

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