A note on positive distributions in Gaussian analysis |
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| Authors: | Yu. G. Kondrat'ev L. Streit W. Westerkamp |
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| Affiliation: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev;(2) BiBoS Research Centre, Bielefeld University, Bielefeld, Germany;(3) BiBoS Research Centre, Bielefeld University, Bielefeld, Germany;(4) CCM, Madeira University, Portugal;(5) BiBoS Research Centre, Bielefeld University, Bielefeld, Germany |
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| 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.Dedicated to Yu. M. Berezanskii on the occasion of his 70th birthdayPublished in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 649–658, May, 1995. |
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