On a dual pair of spaces of smooth and generalized random variables

作者: Jürgen Potthoff , Matthias Timpel

DOI: 10.1007/BF02345829

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摘要: A dual pairG andG* of smooth and generalized random variables, respectively, over the white noise probability space is studied.G constructed by norms involving exponentials Ornstein-Uhlenbeck operator,G* its dual. Sufficient criteria are proved for when a function onL(ℝ) theL-transform an element inG orG*.

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