Abstract
The work of Chapter 6 on eigenvalues and Schröder’s equation led us to the idea of representing univalent self-maps of U by simpler ones that act on more complicated domains, where the subtleties of the original map appear coded into the geometry of the new domain. In this chapter we extend our study of cyclicity by exploiting this idea to develop a method for transferring the linear fractional results of the last chapter to more general situations. In Chapter 9 we will accomplish something similar for the compactness problem.
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© 1993 Springer Science+Business Media New York
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Shapiro, J.H. (1993). Cyclicity and Models. In: Composition Operators. Universitext: Tracts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0887-7_9
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DOI: https://doi.org/10.1007/978-1-4612-0887-7_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94067-0
Online ISBN: 978-1-4612-0887-7
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