Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function h, find the function Ψ such that Schröder's equation is an eigenvalue equation for the composition operator Ch that sends a function f to f(h(.)). If a is a fixed point of h, meaning h(a) = a, then either Ψ(a) = 0 (or ∞) or s = 1.
Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function h, find the function Ψ such that Schröder's equation is an eigenvalue equation for the composition operator Ch that sends a function f to f(h(.)). If a is a fixed point of h, meaning h(a) = a, then either Ψ(a) = 0 (or ∞) or s = 1.
Source: Wikipedia "Schröder's equation" · CC BY-SA 4.0
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