Multivariate random fields on some homogeneous spaces
The generalized continuous random fields of second order with values in arbitrary complex normed space X in the case when their arguments belong to homogeneous space with compact transformation group G are considered. Such fields are harmonizable in some sense. The spectral representations of homoge...
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| Datum: | 2008 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/4572 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Multivariate random fields on some homogeneous spaces / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 3-4. — С. 104-113. — Бібліогр.: 12 назв.— англ. |
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Ponomarenko, O. Perun, Y. 2009-12-07T15:37:10Z 2009-12-07T15:37:10Z 2008 Multivariate random fields on some homogeneous spaces / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 3-4. — С. 104-113. — Бібліогр.: 12 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4572 The generalized continuous random fields of second order with values in arbitrary complex normed space X in the case when their arguments belong to homogeneous space with compact transformation group G are considered. Such fields are harmonizable in some sense. The spectral representations of homogeneous random fields in X and G-invariant positive definite operator-valued kernels are obtained. The special case of random fields with values in complex Hilbert space and random fields on three-dimensional spheres are also studied. en Інститут математики НАН України Multivariate random fields on some homogeneous spaces Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Multivariate random fields on some homogeneous spaces |
| spellingShingle |
Multivariate random fields on some homogeneous spaces Ponomarenko, O. Perun, Y. |
| title_short |
Multivariate random fields on some homogeneous spaces |
| title_full |
Multivariate random fields on some homogeneous spaces |
| title_fullStr |
Multivariate random fields on some homogeneous spaces |
| title_full_unstemmed |
Multivariate random fields on some homogeneous spaces |
| title_sort |
multivariate random fields on some homogeneous spaces |
| author |
Ponomarenko, O. Perun, Y. |
| author_facet |
Ponomarenko, O. Perun, Y. |
| publishDate |
2008 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
The generalized continuous random fields of second order with values in arbitrary complex normed space X in the case when their arguments belong to homogeneous space with compact transformation group G are considered. Such fields are harmonizable in some sense. The spectral representations of homogeneous random fields in X and G-invariant positive definite operator-valued kernels are obtained. The special case of random fields with values in complex Hilbert space and random fields on three-dimensional spheres are also studied.
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| issn |
0321-3900 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/4572 |
| citation_txt |
Multivariate random fields on some homogeneous spaces / O. Ponomarenko, Y. Perun // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 3-4. — С. 104-113. — Бібліогр.: 12 назв.— англ. |
| work_keys_str_mv |
AT ponomarenkoo multivariaterandomfieldsonsomehomogeneousspaces AT peruny multivariaterandomfieldsonsomehomogeneousspaces |
| first_indexed |
2025-12-01T18:54:28Z |
| last_indexed |
2025-12-01T18:54:28Z |
| _version_ |
1850860778893082624 |