Note on Schröder's functional equation

Author:

Kuczma Marek

Abstract

In the present paper we are concerned with Schröder's functional equation , where ϕ(x) is the unknown function and is a number between 0 and 1: . We shall prove a theorem which generalizes some earlier results on convex solutions of the Schröder equation [4], [5].

Publisher

Cambridge University Press (CUP)

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1. Blaschke Products as Solutions of a Functional Equation;Blaschke Products and Their Applications;2013

2. Some limit theorems for Jiřina processes;Periodica Mathematica Hungarica;1979-03

3. Almost sure convergence in Markov branching processes with infinite mean;Journal of Applied Probability;1977-12

4. Almost sure convergence in Markov branching processes with infinite mean;Journal of Applied Probability;1977-12

5. Convex solutions of a Schröder equation in several variables;Proceedings of the American Mathematical Society;1977

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