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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Regular variation in $ {\bf R}^k$


Author: Mark M. Meerschaert
Journal: Proc. Amer. Math. Soc. 102 (1988), 341-348
MSC: Primary 26B30
DOI: https://doi.org/10.1090/S0002-9939-1988-0920997-5
MathSciNet review: 920997
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Abstract: Researchers investigating certain limit theorems in probability have discovered a multivariable analogue to Karamata's theory of regularly varying functions. The method uses elements of real analysis and Lie groups to analyze the asymptotic behavior of functions and measures on $ {{\mathbf{R}}^k}$. We present an account here which is independent of probabilistic considerations.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0920997-5
Keywords: Regular variation, Lie groups
Article copyright: © Copyright 1988 American Mathematical Society