Heat Kernels for Laplacians and Step-2 Sub-Laplacians
In this section we shall provide an explicit multiplication form of the Laplacian for a certain class of two-step nilpotent Lie groups including Heisenberg groups; see . The result presented in this section is more precise than the explicit formula of the heat kernel given for the first time in the paper of Hulanicki , as explained in Remark 9.1.5.
KeywordsHeat Kernel Volume Form Heisenberg Group Jacobi Equation Left Invariant Vector
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