Chaos for Cosine Operator Functions on Groups

Chung-Chuan Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

Let and be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space , 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:603234

DOI: 10.1155/2014/603234

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