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Mathematics Colloquium, Fall 2004

Laszlo Lempert
Purdue University

Complex Approximation

Originally, complex approximation was about approximating a holomorphic function, defined on an open subset of the complex plane, by polynomials. Subsequently one was led to consider more general problems: the function to be approximated had several, perhaps infinitely many variables, and the approximating functions could come from classes of functions other than polynomials.

In my talk I will describe one line of research, starting with Carl Runge's discovery from 1885 and leading up to recent results. I will also explain why approximations are in a sense inevitable in complex analysis/geometry.

Thursday, September 30, 2004, 245 Altgeld Hall, 4 p.m.


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