Abstract
In previous chapters we explored the connection between compactness for composition operators and the existence of angular derivatives for their inducing maps. Here we begin to study how compactness affects the eigen-functions of a composition operator. The eigenfunction equation for a composition operator Cφ is called Schröder’s equation:
and has been studied in one form or another since the late nineteenth century [Shr ‘71].
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© 1993 Springer Science+Business Media New York
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Shapiro, J.H. (1993). Compactness and Eigenfunctions. In: Composition Operators. Universitext: Tracts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0887-7_7
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DOI: https://doi.org/10.1007/978-1-4612-0887-7_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94067-0
Online ISBN: 978-1-4612-0887-7
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