A generalized stochastic derivative on the Kondratiev-type space of regular generalized functions of Gamma white noise

Abstract

We introduce and study a generalized stochastic derivative on the Kondratiev-type space of regular generalized functions of Gamma white noise. Properties of this derivative are quite analogous to the properties of the stochastic derivative in the Gaussian analysis. As an example we calculate the generalized stochastic derivative of the solution of some stochastic equation with Wick-type nonlinearity.

Full Text

Article Information

Title	A generalized stochastic derivative on the Kondratiev-type space of regular generalized functions of Gamma white noise
Source	Methods Funct. Anal. Topology, Vol. 12 (2006), no. 4, 363-383
MathSciNet	MR2279873
Copyright	The Author(s) 2006 (CC BY-SA)

Authors Information

N. A. Kachanovsky
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

Citation Example

N. A. Kachanovsky, A generalized stochastic derivative on the Kondratiev-type space of regular generalized functions of Gamma white noise, Methods Funct. Anal. Topology 12 (2006), no. 4, 363-383.

BibTex

@article {MFAT354,
    AUTHOR = {Kachanovsky, N. A.},
     TITLE = {A generalized stochastic derivative on the Kondratiev-type space of regular generalized functions of Gamma white noise},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {12},
      YEAR = {2006},
    NUMBER = {4},
     PAGES = {363-383},
      ISSN = {1029-3531},
  MRNUMBER = {MR2279873},
       URL = {http://mfat.imath.kiev.ua/article/?id=354},
}