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Riesz Means on Compact Riemannian Symmetric Spaces

✍ Scribed by Luoqing Li

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 521 KB
Volume: 168
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19941680114

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✦ Synopsis

Abstract

We study approximation properties of the Riesz means on compact symmetric spaces of rank one. To do so we establish equivalences between the Riesz means and Peetre K‐moduli and estimate the weak type and the uniform approximation of the Riesz means at the critical index. The relations between the Riesz means and the best approximation as well as the Cesàro means are also considered.

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