Chaos Decomposition of Local Time for d-Dimensional Fractional Brownian Motion with N-Parameter

In this paper, the existence and chaos decomposition of local time of fractional Brownian motion are studied within the canonical framework of white noise analysis. We prove that the local time of -dimensional fractional Brownian motion with 1-parameter is a Hida distribution through white noise approach. Under some conditions, it exists in . Moreover, the Wiener-Ito chaos decomposition of it is also given in terms of Hermite polynomials. Finally, similar results of -dimensional fractional Brownian motion with -parameter are also obtained. We popularize some results in Bakun (2000) for the case of Brownian motion.