Continuous Iteration. Commuting Substitution Operators

  • György I. Targonski
Conference paper
Part of the Lecture Notes in Mathematics book series (ASS, volume 6)


Historically, the Schröder equation emerged not,as in our presentation, as the eigenvalue equation of a substitution operator, but in a different, but related, context, the question of continuous iteration. One defines the iterates fn (x) of a function f(x) by (3.1) fn (x) = f[fn-1(x)], fo (x) = x.


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • György I. Targonski
    • 1
  1. 1.Fordham UniversityUSA

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