The Spectral Analysis of Stationary Interval Functions
t'NIVERSITY OF CALIFORNIA, BERKELEY BERKELEY United States
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We consider stationary, additive, interval functions Xdelta. These are vector valued stochastic processes having real intervals delta alpha, ,beta as domain, having finite dimensional distributions invariant under time translation and satisfying 1.1 Xdelta1 U delta2 Xdelta1 Xdelta2, for disjoint intervals delta1, delta2. Such processes are considered in some detail in Bochner 5.