A Short Proof of the Existence of Universal Functions

Benjamin D. Mestel

doi:rae/1403894902

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Home > Journals > Real Anal. Exchange > Volume 38 > Issue 2 > Article

2012/2013 A Short Proof of the Existence of Universal Functions

Benjamin D. Mestel

Author Affiliations +

Benjamin D. Mestel¹
¹Ben.Mestel@open.ac.uk

Real Anal. Exchange 38(2): 425-430 (2012/2013).

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Abstract

We present a short proof of the existence of universal functions for period-doubling and critical golden-mean circle maps for all degrees of criticality $d \gt 1$. The method is based on H. Epstein's Herglotz-function technique.