Quasistationary sequences in Hilbert spaces

Abstract

In this paper the concept of covariance differences of a sequence is introduced and its relationship with the covariance function is established. The criteria of linear representability of sequences in Hilbert space are proved. The necessary and sufficient conditions for a linearly representable sequence to be quasistationary are given and proved. The properties of dissipative random sequences are studied.

African Journal of Science and Technology Vol. 5(2) 2004: 83-91