Involutions of real intervals
Volume 112 / 2014
Annales Polonici Mathematici 112 (2014), 25-35
MSC: Primary 39B22; Secondary 37J45.
DOI: 10.4064/ap112-1-2
Abstract
This paper shows a simple construction of continuous involutions of real intervals in terms of continuous even functions. We also study smooth involutions defined by symmetric equations. Finally, we review some applications, in particular a characterization of isochronous potentials by means of smooth involutions.
