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# Generalized stochastic derivatives on parametrized spaces of regular generalized functions of Meixner white noise

### Abstract

We introduce and study Hida-type stochastic derivatives and stochastic differential operators on the parametrized Kondratiev-type spaces of regular generalized functions of Meixner white noise. In particular, we study the interconnection between the stochastic integration and differentiation. Our researches are based on the general approach that covers the Gaussian, Poissonian, Gamma, Pascal and Meixner cases.

### Article Information

 Title Generalized stochastic derivatives on parametrized spaces of regular generalized functions of Meixner white noise Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 334-350 MathSciNet MR2469073 Copyright The Author(s) 2008 (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, Generalized stochastic derivatives on parametrized spaces of regular generalized functions of Meixner white noise, Methods Funct. Anal. Topology 14 (2008), no. 4, 334-350.

### BibTex

@article {MFAT447,
AUTHOR = {Kachanovsky, N. A.},
TITLE = {Generalized stochastic derivatives on parametrized spaces of regular generalized functions of Meixner white noise},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {4},
PAGES = {334-350},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=447},
}