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- W191378612 abstract "This chapter discusses the Radon–Nikodym (RN) theory of measures, the values of which are any linear operators on a Hilbert space to itself, and the derivatives of which may likewise be discontinuous linear operators. Such a theory is helpful in the mathematical theory of electric filters and in the area of quasi-isometric measures. The developments ensuing from the work of Wiener and Bochner on time-invariant operators and on multiplication operators can be treated systematically from the standpoint of the RN theory of operator-valued measures. The RN theory provides the most natural setting for such studies. The chapter also discusses how some differentiable measures can be factored into a single operator R flanked by a quasi-isometric measure on one side and by its adjoint on the other." @default.
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- W191378612 date "1973-01-01" @default.
- W191378612 modified "2023-09-23" @default.
- W191378612 title "RADON-NIKODYM THEORY FOR OPERATOR VALUED MEASURES AND A THEOREM OF FOURES & SEGAL" @default.
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- W191378612 doi "https://doi.org/10.1016/b978-0-12-702450-9.50028-2" @default.
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