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Orthogonal approach to the construction of the theory of generalized functions of infinitely many variables and the Poisson analysis of white noise

Yu. M. Berezansky and V. A. Tesko

Ukrainian Math. J. 56 (2004), no. 12, 1885-1914.

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Abstract

We develop an orthogonal approach to the construction of the theory of generalized functions of in?nitely many variables (without using Jacobi ?elds) and apply it to the construction and investigation of the Poisson analysis of white noise.

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