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A limit theorem on symmetric matrices

A limit theorem on symmetric matrices In this note, we give a limit theorem related to the notion of regular variation for functions defined on symmetric matrices. We consider the problem under the condition of invariance by the orthogonal group, and under the invariance by the subgroup of the orthogonal group corresponding to diagonal matrices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

A limit theorem on symmetric matrices

Hassairi, Abdelhamid
Georgian Mathematical Journal , Volume 17 (4) – Dec 1, 2010
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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2010.035
Publisher site
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Abstract

In this note, we give a limit theorem related to the notion of regular variation for functions defined on symmetric matrices. We consider the problem under the condition of invariance by the orthogonal group, and under the invariance by the subgroup of the orthogonal group corresponding to diagonal matrices.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Dec 1, 2010

Keywords: Regular variation; symmetric matrix; generalized power; orthogonal group

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