The Laplacian and the heat kernel acting on differential forms on spheres

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概要

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• We show that the Laplacian acting on differential forms on a sphere can be lifted to an operator on its rotation group which is intrinsically equivalent to the Laplacian acting on functions on the Lie group. Further, using the result and the Urakawa summation formula for the heat kernel of the latter Laplacian and the Weyl integration formula, we get a summation formula for the kernel of the former.

著者

• Nagase Masayoshi

  Department of Mathematics, Graduate School of Science and Engineering, Saitama University

• Nagase Masayoshi

  Department Of Mathematics Graduate School Of Science And Engineering Saitama University

• Nagase Masayoshi

  Department Of Mathematics Faculty Of Science Saitama University

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