Open Access
2014 Chaos for Cosine Operator Functions on Groups
Chung-Chuan Chen
Abstr. Appl. Anal. 2014(SI05): 1-7 (2014). DOI: 10.1155/2014/603234


Let 1 p < and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space L p ( G ) , in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously. We also give a necessary and sufficient condition for the direct sum of a sequence of cosine operator functions to be chaotic.


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Chung-Chuan Chen. "Chaos for Cosine Operator Functions on Groups." Abstr. Appl. Anal. 2014 (SI05) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

MathSciNet: MR3182293
Digital Object Identifier: 10.1155/2014/603234

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI05 • 2014
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