Abstract
Using the Elworthy—Truman “elementary” formula we obtain exact and explicit formulae for the heat kernel on Lie groups and their dual symmetric spaces. We analyze also the case of nilpotent Lie groups and by means of a faithful representation we obtain for the heat kernel, associated with the Laplace—Beltrami, a recursion formula on the dimension of the representation.
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Arede, M.T. (1991). Heat Kernels on Lie Groups. In: Cruzeiro, A.B., Zambrini, J.C. (eds) Stochastic Analysis and Applications. Progress in Probability, vol 26. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0447-3_4
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DOI: https://doi.org/10.1007/978-1-4612-0447-3_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6764-5
Online ISBN: 978-1-4612-0447-3
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