A Characterization of the Heat Kernel Coefficients

Gregor Weingart

A Characterization of the Heat Kernel Coefficients

微分几何 2007-05-23 v1 谱理论

作者: Gregor Weingart

摘要

We consider the asymptotic expansion of the heat kernel of a generalized Laplacian for $t\to 0^+$ and characterize the coefficients $a_k$ of this expansion by a natural intertwining property. In particular we will give a closed formula for the infinite order jet of these coefficients on the diagonal in terms of the local expressions of the powers of the given generalized Laplacian in normal coordinates.

关键词

heat kernel asymptotics heat kernel estimates reproducing kernel hilbert space

引用

@article{arxiv.math/0105144,
  title  = {A Characterization of the Heat Kernel Coefficients},
  author = {Gregor Weingart},
  journal= {arXiv preprint arXiv:math/0105144},
  year   = {2007}
}

备注

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A Characterization of the Heat Kernel Coefficients

摘要

关键词

引用

备注

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