On a representation of smooth invariants of Coxeter groups in terms of anisotropic spaces

A smooth function invariant under the action of the Coxeter group can be represented as a function of basic invariants. We propose to describe the latter in terms of special anisotropic spaces, which enables us to obtain more precise estimates of its smoothness.

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Bibliographic Details
Date:1997
Main Authors: Gokhman, A. O., Гохман, А. О.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5037
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:A smooth function invariant under the action of the Coxeter group can be represented as a function of basic invariants. We propose to describe the latter in terms of special anisotropic spaces, which enables us to obtain more precise estimates of its smoothness.