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P-Adic Numbers Ultrametric Anal. Appl., 2012, том 4, номер 1, страницы 64–75
(Mi padic10)
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Homogeneous generalized functions with respect to one-parametric group
Yu. N. Drozhzhinova, B. I. Zavialov a Steklov Mathematical Institute, Russian Academy of Sciences,
Gubkina Str. 8, Moscow 119991, Russia
Аннотация:
We give the full description of homogeneous generalized functions along the trajectories
of arbitrary one-parametric multiplicative group of linear transformations whose generator matrix
has eigenvalues with positive real parts. We also study the problem of extension of such functionals
from the space of test functions vanishing at the origin up to the whole space $S(\mathbb{R}^n)$, and discuss the
conditions of uniqueness of such extension.
DOI:
https://doi.org/10.1134/S2070046612010086
Реферативные базы данных:
Тип публикации:
Статья Поступила в редакцию: 13.12.2011
Язык публикации: английский
Образцы ссылок на эту страницу:
http://mi.mathnet.ru/padic10
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
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