Myrto Manolaki

will speak on

Complex approximation: from one to several variables

Time: 4:00PM
Date: Tue 17th November 2020
Location: Online [map]

Further information

Abstract: In one complex variable, approximation theory is well developed. For example, the celebrated theorem of Mergelyan states that if K is a compact subset of the complex plane with connected complement, then every continuous function on K which is holomorphic on its interior can be uniformly approximated on K by polynomials. In this talk, we will discuss what happens in several complex variables, where the situation is far from being understood. In particular, I will introduce a natural function algebra which allows us to obtain new Mergelyan-type theorems. Moreover, I will present a counterexample to a classical result from 1969 that motivated the introduction of this new function algebra. (Joint work with J. Falco, P. Gauthier and V. Nestoridis.)

(This talk is part of the Analysis series.)

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