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Representation of continuous functions
Ayers, Nathan
Ayers, Nathan
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2023-07
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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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Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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Wichita State University
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© Copyright 2023 by Nathan Ayers
All Rights Reserved