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

Authors

  • Yu. M. Berezansky
  • V. A. Tesko

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.

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Published

25.12.2004

Issue

Vol. 56 No. 12 (2004)

Section

Research articles

How to Cite

Berezansky, Yu. M., and V. A. Tesko. “Orthogonal Approach to the Construction of the Theory of Generalized Functions of Infinitely Many Variables and the Poisson Analysis of White Noise”. Ukrains’kyi Matematychnyi Zhurnal, vol. 56, no. 12, Dec. 2004, pp. 1587-15, https://umj.imath.kiev.ua/index.php/umj/article/view/3869.