Regular generalized functions in Gaussian analysis

Grothaus M, Kondratiev Y, Streit L (1999)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 2(1): 1-25.

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Journal Article | Original Article | Published | English

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The concepts of regular generalized functions in Gaussian analysis are presented. Spaces of regular generalized functions are characterized and their probabilistic structure is worked out. Finally, these concepts are applied to a nonlinear stochastic (Verhulst type) equation. Its solution is shown to be a regular generalized process with martingale property.
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Grothaus M, Kondratiev Y, Streit L. Regular generalized functions in Gaussian analysis. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 1999;2(1):1-25.
Grothaus, M., Kondratiev, Y., & Streit, L. (1999). Regular generalized functions in Gaussian analysis. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2(1), 1-25. doi:10.1142/S0219025799000023
Grothaus, M., Kondratiev, Y., and Streit, L. (1999). Regular generalized functions in Gaussian analysis. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 2, 1-25.
Grothaus, M., Kondratiev, Y., & Streit, L., 1999. Regular generalized functions in Gaussian analysis. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2(1), p 1-25.
M. Grothaus, Y. Kondratiev, and L. Streit, “Regular generalized functions in Gaussian analysis”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 2, 1999, pp. 1-25.
Grothaus, M., Kondratiev, Y., Streit, L.: Regular generalized functions in Gaussian analysis. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 2, 1-25 (1999).
Grothaus, M, Kondratiev, Yuri, and Streit, Ludwig. “Regular generalized functions in Gaussian analysis”. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 2.1 (1999): 1-25.
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