2017
Том 69
№ 6

All Issues

Orthogonal Approach to the Construction of the Theory of Generalized Functions of Infinitely Many Variables and the Poisson Analysis of White Noise

Berezansky Yu. M., Tesko V. A.

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Abstract

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

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 12, pp 1885-1914.

Citation Example: Berezansky Yu. M., Tesko V. A. Orthogonal Approach to the Construction of the Theory of Generalized Functions of Infinitely Many Variables and the Poisson Analysis of White Noise // Ukr. Mat. Zh. - 2004. - 56, № 12. - pp. 1587-1615.

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