Regular Generalized Functions in Gaussian Analysis

نویسندگان

  • Martin Grothaus
  • Yuri G. Kondratiev
چکیده

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 (Verhulst type) equation. Its solution is shown to be a regular generalized process with martingale property.

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تاریخ انتشار 1997