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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| Datum: | 2006 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/4464 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| Zusammenfassung: | 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.
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| ISSN: | 0321-3900 |