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
Hauptverfasser: Ponomarenko, O., Perunk, Y.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2006
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
id nasplib_isofts_kiev_ua-123456789-4464
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Spectral analysis of some classes of multivariate random fields with isotropic property
spellingShingle Spectral analysis of some classes of multivariate random fields with isotropic property
Ponomarenko, O.
Perunk, Y.
title_short 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_sort spectral analysis of some classes of multivariate random fields with isotropic property
author Ponomarenko, O.
Perunk, Y.
author_facet Ponomarenko, O.
Perunk, Y.
publishDate 2006
language English
publisher Інститут математики НАН України
format Article
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.
issn 0321-3900
url https://nasplib.isofts.kiev.ua/handle/123456789/4464
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.
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AT perunky spectralanalysisofsomeclassesofmultivariaterandomfieldswithisotropicproperty
first_indexed 2025-12-07T19:29:11Z
last_indexed 2025-12-07T19:29:11Z
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