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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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Інститут математики НАН України
2007
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/4521 |
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irk-123456789-45212009-11-25T12:00:42Z Spectral analysis of multivariate stationary random functions on some massive groups Ponomarenko, O. Perun, Y. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/4521 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ponomarenko, O. Perun, Y. |
| spellingShingle |
Ponomarenko, O. Perun, Y. Spectral analysis of multivariate stationary random functions on some massive groups |
| author_facet |
Ponomarenko, O. Perun, Y. |
| author_sort |
Ponomarenko, O. |
| title |
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_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_sort |
spectral analysis of multivariate stationary random functions on some massive groups |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/4521 |
| 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. |
| work_keys_str_mv |
AT ponomarenkoo spectralanalysisofmultivariatestationaryrandomfunctionsonsomemassivegroups AT peruny spectralanalysisofmultivariatestationaryrandomfunctionsonsomemassivegroups |
| first_indexed |
2023-03-24T08:30:33Z |
| last_indexed |
2023-03-24T08:30:33Z |
| _version_ |
1796139189337587712 |