Zobrazeno 1 - 10
of 10
pro vyhledávání: '"N.A. Kachan"'
Publikováno v:
Herald of the Belgorod University of Cooperation, Economics and Law. 4:9-22
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a74308a457fc61ea666e1c053a14af9f
https://doi.org/10.21295/2223-5639-2021-4-9-22
https://doi.org/10.21295/2223-5639-2021-4-9-22
Publikováno v:
Herald of the Belgorod University of Cooperation, Economics and Law. 6:204-214
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9523dc5d7a1056d19c73ba4fca4210bb
https://doi.org/10.21295/2223-5639-2019-6-204-214
https://doi.org/10.21295/2223-5639-2019-6-204-214
Autor:
N.A. Kachanovsky
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 1, Pp 194-212 (2022)
We deal with spaces of regular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property. Our aim is to study properties of Wick multiplication and of Wick versions of
Externí odkaz:
https://doaj.org/article/4ca56c4e48254081837f462db47663f5
Autor:
N.A. Kachanovsky, T.O. Kachanovska
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 11, Iss 1, Pp 70-88 (2019)
We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property. Our aim is to describe a relationship between Wick multiplication a
Externí odkaz:
https://doaj.org/article/823f3eb6d7cb4a26a0c92fe47e882031
Autor:
N.A. Kachanovsky
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 10, Iss 1, Pp 114-132 (2018)
Development of a theory of test and generalized functions depending on infinitely many variables is an important and actual problem, which is stipulated by requirements of physics and mathematics. One of successful approaches to building of such a th
Externí odkaz:
https://doaj.org/article/2ed7203ffec64b2794d9cf2e31979f17
Autor:
N.A. Kachanovsky
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 8, Iss 1, Pp 83-106 (2016)
The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis. In particular, the
Externí odkaz:
https://doaj.org/article/a8d5e19fdf2d4ff6a0a78fa50dd9fc74
Autor:
M.M. Dyriv, N.A. Kachanovsky
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 6, Iss 2, Pp 212-229 (2014)
The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis. In particular, the
Externí odkaz:
https://doaj.org/article/a5fba96617784ef48ac4d2040d901e7a
Autor:
N.A. Kachanovsky
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 5, Iss 2, Pp 256-278 (2013)
Let $L$ be a Levy process on $[0,+\infty)$. In particular cases, when $L$ is a Wiener or Poisson process, any square integrable random variable can be decomposed in a series of repeated stochastic integrals from nonrandom functions with respect to $L
Externí odkaz:
https://doaj.org/article/3aacceb31be14c7fb64ea81962704fc1
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