A Laurent expansion for regularised integrals of holomorphic symbols

2005/06/10 by Sylvie Paycha, Paycha, Sylvie, Simon Scott +1 · 2 citations
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.math/0506211

Expanded explanations and applications

arxiv created 2006/01/16 · arxiv updated 2009/12/01

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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• Spectral Cut-off Oscillatory Integrals for Non-Autonomous Hamiltonian Evolution Equations
• Finite-difference zeta readout of one-loop operator spectra

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