H-valued generalized functions and orthogonally scattered measures (original) (raw)
1976, Advances in Mathematics
Hilbert space valued measures of certain kinds are shown to be projections of orthogonally scattered measures. This result is used to give a representation of Hilbert space valued generalized functions in terms of orthogonally scattered measures. Applications are given to the characterization of deterministic Hilbert sequences and generalized stochastic processes.
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