Nonstationary curves in Hilbert spaces and their correlation functions II

Abstract

One stohastic process after A. Kolmogorov can be considered as a curve in Hilbert space. The stationary random curves, i. e. such curves, the correlation functions (CF) of which depend on the difference of the arguments, have been studied by S. Bohner [1] and A. Hinchin [2]. These authors have obtained spectral representation of the stohastic stationary processes in the form