نتایج جستجو برای: banach valued random vector
تعداد نتایج: 516422 فیلتر نتایج به سال:
In this article we develop the theory of H-Orlicz space generated by generalised Young function. Modular convergence for case vector-valued functions and norm in $$\mathcal {H}^\theta (X, \overline{\mu })$$ where X is any Banach are discussed. Relationships modular spaces
We give a sequential compactness criterion for the weak topology of vector measures with values in certain nuclear spaces, such as the space S of all rapidly decreasing, infinitely differentiable functions, the space D of all test functions, and the strong duals of those spaces. This result contains Prokhorov–LeCam’s criterion for real measures and applies to cases which are not covered by März...
We obtain a representation theorem for Banach space valued Gaussian random variables as integrals against a white noise. As a corollary we obtain necessary and sufficient conditions for the existence of a white noise representation for a Gaussian random field indexed by a measure space. We then show how existing theory for integration with respect to Gaussian processes indexed by [0, 1] can be ...
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