On a certain class of nonstationary sequences in Hilbert space

Berrabah Bendoukha

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-12

Abstract:

We study the functions of correlation K ( n , m ) = 〈 X ( n ) , X ( m ) 〉 of certain sequences: X ( n ) = T n x 0 , x 0 ∈ H where T is a contraction in Hilbert space H . By using the spectral methods of the nonunitary operators we give the general form of K ( n , m ) and its asymptotic behaviour lim p → + ∞ K ( n + p , m + p ) .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:326906

DOI: 10.1155/S0161171203201034

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