Infinite-dimensional analysis related to generalized translation operators
We give an extensive generalization of the white-noise analysis (in the Gaussian and non-Gaussian case) in which the role of translation operators is played by a fixed family of generalized translation operators.
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| Date: | 1997 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5013 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511211743870976 |
|---|---|
| author | Berezansky, Yu. M. Березанський, Ю. М. |
| author_facet | Berezansky, Yu. M. Березанський, Ю. М. |
| author_sort | Berezansky, Yu. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:53Z |
| description | We give an extensive generalization of the white-noise analysis (in the Gaussian and non-Gaussian case) in which the role of translation operators is played by a fixed family of generalized translation operators. |
| first_indexed | 2026-03-24T03:09:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5013 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:18Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ca/935c197f90f070c7949fe4ee4db95fca.pdf |
| spelling | umjimathkievua-article-50132020-03-18T21:22:53Z Infinite-dimensional analysis related to generalized translation operators Бесконечномерной анализ, связанный с операторами обобщенного сдвига Berezansky, Yu. M. Березанський, Ю. М. We give an extensive generalization of the white-noise analysis (in the Gaussian and non-Gaussian case) in which the role of translation operators is played by a fixed family of generalized translation operators. Дано широке узагальнення білого шуму (на гаусівському та негаусівському випадках), у якому роль операторного зсуву відіграє фіксонана сім'я операторів) узагальненого зсуву. Institute of Mathematics, NAS of Ukraine 1997-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5013 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 3 (1997); 364–409 Український математичний журнал; Том 49 № 3 (1997); 364–409 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5013/6725 https://umj.imath.kiev.ua/index.php/umj/article/view/5013/6726 Copyright (c) 1997 Berezansky Yu. M. |
| spellingShingle | Berezansky, Yu. M. Березанський, Ю. М. Infinite-dimensional analysis related to generalized translation operators |
| title | Infinite-dimensional analysis related to generalized translation operators |
| title_alt | Бесконечномерной анализ, связанный с операторами обобщенного сдвига |
| title_full | Infinite-dimensional analysis related to generalized translation operators |
| title_fullStr | Infinite-dimensional analysis related to generalized translation operators |
| title_full_unstemmed | Infinite-dimensional analysis related to generalized translation operators |
| title_short | Infinite-dimensional analysis related to generalized translation operators |
| title_sort | infinite-dimensional analysis related to generalized translation operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5013 |
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