Multivariate random fields on some homogeneous spaces

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...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2008
Автори: Ponomarenko, O., Perun, Y.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2008
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/4572
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-4572
record_format dspace
spelling irk-123456789-45722009-12-08T12:00:35Z Multivariate random fields on some homogeneous spaces Ponomarenko, O. Perun, Y. 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. 2008 Article 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 en Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Ponomarenko, O.
Perun, Y.
spellingShingle Ponomarenko, O.
Perun, Y.
Multivariate random fields on some homogeneous spaces
author_facet Ponomarenko, O.
Perun, Y.
author_sort Ponomarenko, O.
title Multivariate random fields on some homogeneous spaces
title_short 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_sort multivariate random fields on some homogeneous spaces
publisher Інститут математики НАН України
publishDate 2008
url http://dspace.nbuv.gov.ua/handle/123456789/4572
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.
work_keys_str_mv AT ponomarenkoo multivariaterandomfieldsonsomehomogeneousspaces
AT peruny multivariaterandomfieldsonsomehomogeneousspaces
first_indexed 2023-03-24T08:30:45Z
last_indexed 2023-03-24T08:30:45Z
_version_ 1796139195043938304

Схожі ресурси