Asymptotic representation of conformal maps of strip domains without boundary regularity.
Many parts of the subject of the boundary behavior of conformal mappings can be subsumed under the general heading of asymptotic representations of the Riemann mapping function near a boundary point. Asymptotic representations have, up to now, required that the boundary of the domain satisfy various types of regularity conditions. The results announced here give a method for obtaining asymptotic representations when the domain fails to satisfy such regularity conditions.
Rodin
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Department of Mathematics, University of California, San Diego, La Jolla, California 92093.
Warschawski
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SE