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  • Some results in probability from the functional analytic viewpoint

    Creator:
    Gelbaum, Zachary A.
    Abstract:
    This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certain stochastic integral representations for Banach space valued Gaussian random variables. Next we give a spectral geometric construction...
    Resource Type:
    Dissertation
    Full Text:
    consider in the following chapters. Brownian motion, Bt, t ∈ [0, 1], is the fundamental example of a