Multivariate random fields on some homogeneous spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multivariate random fields on some homogeneous spaces
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| Creator |
Ponomarenko, O.
Perun, Y. |
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| 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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| Date |
2009-12-07T15:37:10Z
2009-12-07T15:37:10Z 2008 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/4572 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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