Abstract
We describe positive generalized functional in Gaussian analysis. We focus on the large distribution space (N)−1. It is shown that a positive distribution is represented by a measure with specific growth of its moments. Equivalently, this statement can be replaced by the integrability condition.
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Dedicated to Yu. M. Berezanskii on the occasion of his 70th birthday
Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 649–658, May, 1995.
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Kondrat'ev, Y.G., Streit, L. & Westerkamp, W. A note on positive distributions in Gaussian analysis. Ukr Math J 47, 749–759 (1995). https://doi.org/10.1007/BF01059048
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DOI: https://doi.org/10.1007/BF01059048