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Department of Mathematics,
University of California San Diego

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Math 295 - Mathematics Colloquium

Lawrence Zalcman

Bar-Ilan University

Normal families and Omitted Values

Abstract:

Picard's Little Theorem (1879) says that an entire function whose range omits two (distinct, finite) values must be constant. We survey some of the developments in this area of the past 125 years, explain how they connect with function theory on finite domains (such as the disc), and wind up with a new approach to some longstanding open problems.

Host: C. FitzGerald

March 31, 2005

3:00 PM

AP&M 6438

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