Abstract
Concerning iterative roots, a main difficulty comes from forts of continuous functions. A case of infinitely many forts is the class of functions with plateaus. In this paper we consider functions in this class and their iterative roots. We discuss on changes of plateaus under iteration and give a criterion to determine the clenched class. Then we find all iterative roots for clenched single-plateau functions.
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Supported by NSFC #11231001, #11221101, #11371264 and #11501394, PCSIRT IRT-15R53, and Scientific Research Fund of Sichuan Provincial Education Department #15ZB0041.
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Lin, Y., Zeng, Y. & Zhang, W. Iterative Roots of Clenched Single-Plateau Functions. Results Math 71, 15–43 (2017). https://doi.org/10.1007/s00025-016-0625-9
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DOI: https://doi.org/10.1007/s00025-016-0625-9