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2011 Cosine functions revisited
Dilian Yang
Banach J. Math. Anal. 5(2): 126-130 (2011). DOI: 10.15352/bjma/1313363008

Abstract

In this short note, a new approach is provided to prove that every nonzero continuous cosine function on a compact group $G$ is the normalized character of a representation of $G$ into the special unitary group $SU(2)$.

Citation

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Dilian Yang. "Cosine functions revisited." Banach J. Math. Anal. 5 (2) 126 - 130, 2011. https://doi.org/10.15352/bjma/1313363008

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1230.43005
MathSciNet: MR2805145
Digital Object Identifier: 10.15352/bjma/1313363008

Subjects:
Primary: 39B52‎
Secondary: 22C05 , 43A30

Keywords: cosine function , non-abelian Fourier transform , representation of a compact group

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 2 • 2011
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