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Proceedings of the American Mathematical Society

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

 

 

Cesàro means of Fourier series on rotation groups


Author: Da Shan Fan
Journal: Proc. Amer. Math. Soc. 123 (1995), 1105-1114
MSC: Primary 43A75
MathSciNet review: 1231295
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Abstract: We study the Cesàro means of Fourier series on rotation groups $ {\text{SO}}(3)$ and $ {\text{SO}}(4)$. On these two classical groups, we solve an open question recently posted in Harmonic analysis on classical groups [Springer-Verlag, Berlin, and Science Press, Beijing, 1991].


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DOI: https://doi.org/10.1090/S0002-9939-1995-1231295-0
Keywords: Fourier series, Cesàro means, rotation groups, Lebesgue constants
Article copyright: © Copyright 1995 American Mathematical Society