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Wiener measure for Heisenberg group

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Abstract

We build Wiener measure for the path space on the Heisenberg group by using of the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral. Then we give the Feynman-Kac formula.

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Correspondence to YingZhan Wang.

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Liu, H., Wang, Y. Wiener measure for Heisenberg group. Sci. China Math. 57, 1605–1614 (2014). https://doi.org/10.1007/s11425-014-4823-1

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  • DOI: https://doi.org/10.1007/s11425-014-4823-1

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