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 FeynmanKac formula.
基金supported by National Natural Science Foundation of China (Grant No. 10990012)50-Class General Financial Grant from the China Postdoctoral Science Foundation (Grant No. 2011M501317)
文摘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 FeynmanKac formula.