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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| Date: | 2008 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4572 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862651061919023104 |
|---|---|
| author | Ponomarenko, O. Perun, Y. |
| author_facet | Ponomarenko, O. Perun, Y. |
| 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. |
| collection | DSpace DC |
| 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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| first_indexed | 2025-12-01T18:54:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4572 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-01T18:54:28Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Multivariate random fields on some homogeneous spaces Ponomarenko, O. Perun, Y. |
| title | 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_short | Multivariate random fields on some homogeneous spaces |
| title_sort | multivariate random fields on some homogeneous spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4572 |
| work_keys_str_mv | AT ponomarenkoo multivariaterandomfieldsonsomehomogeneousspaces AT peruny multivariaterandomfieldsonsomehomogeneousspaces |