A Laurent expansion for regularised integrals of holomorphic symbols

Mathematics – Analysis of PDEs

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Scientific paper

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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