Gaussian white noise analysis and its application to Feynman path integral

摘要: In applied science, Gaussian white noise (the time derivative of Brownian motion) is often chosen as a mathematical idealization phenomena involving sudden and extremely large fluctuations. It also possible to define study in mathematically rigorous framework. this survey paper we review the an object infinite dimensional topological vector space. A brief construction space distributions will be presented. analysis provides framework which offers various generalization concept known from finite case, among them are differential operators, Fourier transform, distribution theory. We present some recent developments results on application theory Feynman’s path integral approach for quantum mechanics.