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Conformal isomorphism of inner functions

Published online by Cambridge University Press:  01 June 1997

N. F. G. MARTIN
N. F. G. MARTIN
Affiliation:
Department of Mathematics, Math-Astronomy Building, University of Virginia, Charlottesville, VA 22903, USA
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Abstract

If a non-Möbius inner function on the disk with a fixed point in the open disk has a boundary function which is measure theoretically conjugate to the boundary function of another inner function with fixed point in the open disk, then the inner functions are conformally conjugate.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 3 , June 1997 , pp. 663 - 666
Copyright
1997 Cambridge University Press

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