Spectral analysis of some classes of multivariate random fields with isotropic property
In this paper we consider two classes of generalized random fields of second order on R^n with values in Hilbert space H with isotropic property: first - exponentially convex and isotropic random fields and second - homogeneous and isotropic random fields. The spectral representations for such fields and...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4464 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectral analysis of some classes of multivariate random fields with isotropic property / O. Ponomarenko, Y. Perunk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 142–150. — Бібліогр.: 12 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732024564940800 |
|---|---|
| author | Ponomarenko, O. Perunk, Y. |
| author_facet | Ponomarenko, O. Perunk, Y. |
| citation_txt | Spectral analysis of some classes of multivariate random fields with isotropic property / O. Ponomarenko, Y. Perunk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 142–150. — Бібліогр.: 12 назв.— англ. |
| collection | DSpace DC |
| description | In this paper we consider two classes of generalized random fields of second order on R^n with values in Hilbert space H with isotropic property: first - exponentially convex and isotropic random fields and second - homogeneous and isotropic random fields. The spectral representations for such fields and their covariance are obtained.
|
| first_indexed | 2025-12-07T19:29:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4464 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T19:29:11Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ponomarenko, O. Perunk, Y. 2009-11-11T15:25:08Z 2009-11-11T15:25:08Z 2006 Spectral analysis of some classes of multivariate random fields with isotropic property / O. Ponomarenko, Y. Perunk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 142–150. — Бібліогр.: 12 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4464 In this paper we consider two classes of generalized random fields of second order on R^n with values in Hilbert space H with isotropic property: first - exponentially convex and isotropic random fields and second - homogeneous and isotropic random fields. The spectral representations for such fields and their covariance are obtained. en Інститут математики НАН України Spectral analysis of some classes of multivariate random fields with isotropic property Article published earlier |
| spellingShingle | Spectral analysis of some classes of multivariate random fields with isotropic property Ponomarenko, O. Perunk, Y. |
| title | Spectral analysis of some classes of multivariate random fields with isotropic property |
| title_full | Spectral analysis of some classes of multivariate random fields with isotropic property |
| title_fullStr | Spectral analysis of some classes of multivariate random fields with isotropic property |
| title_full_unstemmed | Spectral analysis of some classes of multivariate random fields with isotropic property |
| title_short | Spectral analysis of some classes of multivariate random fields with isotropic property |
| title_sort | spectral analysis of some classes of multivariate random fields with isotropic property |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4464 |
| work_keys_str_mv | AT ponomarenkoo spectralanalysisofsomeclassesofmultivariaterandomfieldswithisotropicproperty AT perunky spectralanalysisofsomeclassesofmultivariaterandomfieldswithisotropicproperty |