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Continuous Solutions of the FunctionalEquation fn(x) = f(x)

Published online by Cambridge University Press:  20 November 2018

G. M. Ewing  and
W. R. Utz
G. M. Ewing
Affiliation:
The Sandia Corporationand, The University of Missouri
W. R. Utz
Affiliation:
The Sandia Corporationand, The University of Missouri
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In this note the authors find all continuous real functions defined on the real axis and such that for an integer n > 2, and for each x,

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 101 - 103
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Borsuk, K., Sur les retractes, Fund. Math., 17 (1931), 152–170.Google Scholar
2. Whyburn, G. T., Analytic topology (Amer. Math. Soc. Colloquium Publications, vol. 28, 1942).Google Scholar