Abstract
Among the members of the celebrated family of functions introduced by Salem in the mid 20th century, there is a particular and very interesting one that we use to relate the dyadic system of numbers representation with the modified Engel system. Various properties are studied for this function, including derivatives and fractal dimensions.
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This work was supported by the Ministerio de Economía y Competitividad (Spain) under Research Project No. MTM2014-60594-P and partially supported by FEDER.
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de Amo, E., Carrillo, M.D. & Fernández-Sánchez, J. A Salem generalised function. Acta Math. Hungar. 151, 361–378 (2017). https://doi.org/10.1007/s10474-017-0690-x
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DOI: https://doi.org/10.1007/s10474-017-0690-x