We present a group structure on D via the automorphisms which fix the point 1. Through the induced group action, each point of ID produces an equivalence class that turns out to be a Blaschke sequence. We show that the corresponding Blaschke products are minimal/atomic solutions of the functional equation psi omicron psi = lambda psi, where lambda is a unimodular constant and phi is an automorphism of the unit disk. We also characterize all Blaschke products that satisfy this equation, and we study its application in the theory of composition operators on model spaces K-Theta

Title

The Annals of Functional Analysis

Publisher

Duke University Press

Publisher Country

United States of America

Publication Type

Prtinted only

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Year

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