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Almost-Bounded Holomorphic Functions with Prescribed Ambiguous Points

Published online by Cambridge University Press:  20 November 2018

G. T. Cargo
G. T. Cargo*
Affiliation:
Syracuse University
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Let f be a function mapping the open unit disk D into the extended complex plane. A point ζ on the unit circle C is called an ambiguous point of f if there exist two Jordan arcs J1 and J2, each having an endpoint at ζ and lying, except for ζ, in D, such that

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 231 - 240
Copyright
Copyright © Canadian Mathematical Society 1964

References

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