# Hybrid Function Systems in the Theory of Uniform Distribution of Sequences

@inproceedings{Hellekalek2012HybridFS,
title={Hybrid Function Systems in the Theory of Uniform Distribution of Sequences},
author={Peter Hellekalek},
year={2012}
}
A hybrid sequence in the multidimensional unit cube is a combination of two or more lower-dimensional sequences of different types. In this paper, we present tools to analyze the uniform distribution of such sequences. In particular, we introduce hybrid function systems, which are classes of functions that are composed of the trigonometric functions, the Walsh functions in base $$\mathbf{b}$$, and the $$\mathbf{p}$$-adic functions. The latter are related to the dual group of the p-adic integers… CONTINUE READING

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