Titlebook: Brownian Motion; T. Hida Book 1980 Takeyuki Hida 1980 Brownian motion.Brownsche Bewegung.Gaussian distribution.Martingale.Probability dist

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https://doi.org/10.1007/978-3-476-03851-7As in the last chapter . denotes a nuclear space which is dense in .(.). We write .. and . for the complexification of . and the dual space of .., respectively, and let . be complex white noise.

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Functionals of Brownian Motion,We are going to discuss those functionals, in general non-linear, of Brownian motion, which can be expressed in the form:..

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The Rotation Group,Once again we begin with the triple . ? .(.) ? .* where as in §3.1, . is a real nuclear space with dual space .* and the two spaces are linked by the canonical bilinear form <. >, . ? .*, . ? ..

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Causal Calculus in Terms of Brownian Motion,nals. Our approach is along the lines of the so-called ., where the passage of time is taken into account in the analysis of functionals of Brownian motion, and we begin the discussion by setting out our general point of view.

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Brownian Motion978-1-4612-6030-1Series ISSN 0172-4568 Series E-ISSN 2197-439X

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