Abstract.Limit theorems in the space of Hida distributions., similar to the law of large numbers and the centrallimit theorem, are shown for composites of the Dirac distribution with solutions of one-dimensional, non-degenerate Hö equations.
Abstract.Limit theorems in the space of Hida distributions., similar to the law of large numbers and the centrallimit theorem, are shown for composites of the Dirac distribution with solutions of one-dimensional, non-degenerate Hö equations.
It is shown that limit theorems similar to the law of large numbers and the central limit theorem hold for (certain versions of) Donsker's delta function strongly in the space of Hida distributions (Y)*. Furthermore, the law of large numbers is shown to hold weakly in the Meyer-Watanabe space 9*.
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