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Nonstationary curves in Hilbert spaces and their correlation functions I
Authors:K. Kirchev  V. Zolotarev
Affiliation:(1) Faculty of Mathematics and Informatics, Sofia University, 1126 Sofia, Bulgaria;(2) Kharkov University, 310 077 Kharkov 77, Ukraina
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 formPartially supported by Grant MM-22/1991 of MESC.
Keywords:Primary 47A48  Secondary 60G12
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