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Liu, Heping; Wang, Yingzhan

Wiener measure for H-type group. (English) Zbl 1276.28030

Int. J. Math. 24, No. 8, Article ID 1350060, 14 p. (2013).
Summary: We build Wiener measure for the path space on H-type groups by using the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral. Then, we give the Feynman-Kac formula.

MSC:

28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
06B15 Representation theory of lattices

Keywords:

H-type group; sub-Laplacian operator; Wiener measure; Feynman-Kac formula
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References:

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