Speaker: Anwoy Maitra.
Date: 3 February, 2015 (Tuesday)
Time: 09:15 pm – 10:15 pm
Venue: Lecture Hall I, Department of Mathematics
Abstract: In this talk, we will present a full proof of a result one hears about often during a first course in complex analysis, but a proof of which is very rarely given. It is the Looman-Menchoff theorem, which asserts that if is an open subset of and if is a continuous function such that all the first order partial derivatives of exist and such that the Cauchy-Riemann equations are satisfied, then is holomorphic. This result, while simple-sounding, is quite nontrivial!
Area: Complex Analysis