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Asymptotic properties of the heat kernel on conic manifolds

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Abstract

We derive asymptotic properties for the heat kernel of elliptic cone (or Fuchs type) differential operators on compact manifolds with boundary. Applications include asymptotic formulas for the heat trace, counting function, spectral function, and zeta function of cone operators.

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Authors and Affiliations

  1. Department of Mathematics, MIT, 02139, Cambridge, MA, USA

    Paul Loya

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  1. Paul Loya
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Correspondence to Paul Loya.

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The author was supported in part by a Ford Foundation Fellowship.

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Loya, P. Asymptotic properties of the heat kernel on conic manifolds. Isr. J. Math. 136, 285–306 (2003). https://doi.org/10.1007/BF02807202

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  • DOI: https://doi.org/10.1007/BF02807202

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