96-169 Holschneider M.

Wavelet Analysis of Transfer Operators acting on n - dimensional H\"older, Zygmund, Triebel spaces (138K, LaTeX) May 6, 96

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Abstract. In this paper we show how wavelet analysis may be used to analyse spectral properties of the transfer operator when it is acting on function spaces that are well described through wavelet expansions. We prove a fairly explicit formula for the essential spectral radius when the transfer operator is acting on the H\"older-Zygmund Triebel scale of spaces. It involves only the local linearizations of the transfer operator.

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