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Wiener measure for Heisenberg group |
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| Authors: | HePing Liu YingZhan Wang |
| Institution: | 1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 10086, China 2. School of Sciences, South China University of Technology, Guangzhou, 510641, China 3. College of Mathematics and Information, Guangzhou University, Guangzhou, 510006, China |
| 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. |
| Keywords: | Heisenberg group C-C distance sub-Laplacian operator Wiener measure Feynman-Kac formula |
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