Representation of continuous functions

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Issue Date
2023-07
Authors
Ayers, Nathan
Advisor
Fridman, Buma L.
Citation
Abstract

This thesis presents Kolmogorov’s solution to Hilbert’s thirteenth problem. This solution presents that continuous functions of arbitrarily many variables may be represented as combinations of a finite number of continuous functions of a smaller number of variables. We also discuss the possibilities and impossibilities of improving the smoothness of the functions in the representation.

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Description
Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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