• Corpus ID: 235265960

Two Function Families and Their Application to Hankel Transform of Heat Kernel

  title={Two Function Families and Their Application to Hankel Transform of Heat Kernel},
  author={A V Ivanov and N. V. Kharuk},
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smooth Riemannian manifold without a boundary at enough small values of the proper time. The Seeley–DeWitt coefficients of this decomposition satisfy a set of recurrence relations, which we use to construct two function families of a special kind. Using these functions, we find the expansion of a heat kernel for the inverse Laplace operator for an arbitrary dimension of space. We show that the new… 

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