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Heat kernel asymptotics on manifolds with conic singularities

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Abstract

The Laplacian acting onk-forms on a manifold with isolated conic singularities is not in general an essentially self-adjoint operator. The heat kernels for self-adjoint extensions of the Laplacian on these metric spaces are described as functions conormal to a manifold with corners. The heat kernel for a given self-adjoint extension is constructed from the Friedrichs heat kernel. The terms in the difference of the heat trace expansions are shown to supply information parametrizing the extension.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Los Angeles, 6363 Math Sci. Bldg, Box 951555, 90095-1555, Los Angeles, CA, USA

    Edith A. Mooers

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  1. Edith A. Mooers
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Mooers, E.A. Heat kernel asymptotics on manifolds with conic singularities. J. Anal. Math. 78, 1–36 (1999). https://doi.org/10.1007/BF02791127

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  • DOI: https://doi.org/10.1007/BF02791127

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