Spectral analysis of multivariate stationary random functions on some massive groups
The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class i...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/4521 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Spectral analysis of multivariate stationary random functions on some massive groups / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 177–182. — Бібліогр.: 9 назв.— англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680810961764352 |
|---|---|
| author | Ponomarenko, O. Perun, Y. |
| author_facet | Ponomarenko, O. Perun, Y. |
| citation_txt | Spectral analysis of multivariate stationary random functions on some massive groups / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 177–182. — Бібліогр.: 9 назв.— англ. |
| collection | DSpace DC |
| description | The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class is additive group of real vector space equipped with the finite topology.
|
| first_indexed | 2025-12-07T15:48:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4521 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T15:48:04Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ponomarenko, O. Perun, Y. 2009-11-24T15:34:54Z 2009-11-24T15:34:54Z 2007 Spectral analysis of multivariate stationary random functions on some massive groups / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 177–182. — Бібліогр.: 9 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4521 The spectral representations for wide sense stationary multivariate random functions and for their covariance functions on two classes of additive vector groups are obtained under some assumptions about continuity of such functions. The first class is nuclear topological groups and the second class is additive group of real vector space equipped with the finite topology. en Інститут математики НАН України Spectral analysis of multivariate stationary random functions on some massive groups Article published earlier |
| spellingShingle | Spectral analysis of multivariate stationary random functions on some massive groups Ponomarenko, O. Perun, Y. |
| title | Spectral analysis of multivariate stationary random functions on some massive groups |
| title_full | Spectral analysis of multivariate stationary random functions on some massive groups |
| title_fullStr | Spectral analysis of multivariate stationary random functions on some massive groups |
| title_full_unstemmed | Spectral analysis of multivariate stationary random functions on some massive groups |
| title_short | Spectral analysis of multivariate stationary random functions on some massive groups |
| title_sort | spectral analysis of multivariate stationary random functions on some massive groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4521 |
| work_keys_str_mv | AT ponomarenkoo spectralanalysisofmultivariatestationaryrandomfunctionsonsomemassivegroups AT peruny spectralanalysisofmultivariatestationaryrandomfunctionsonsomemassivegroups |