Colloquium talk:Kristian Seip (NTNU/CAS):Analysis on the polydiscs

Abstract: Rudin's classic treatise "Function Theory in Polydiscs" from 1969 studies complex analysis on polydiscs starting from the following question: How much of our extremely detailed knowledge about holomorphic functions in the unit disc can be carried over to an analogous situation in several variables, namely to polydiscs? A different perspective comes from the work of Bohr and Bohnenblust--Hille several decades earlier; here the main issue is function theory in the infinite-dimensional polydisc, which to a large extent is concerned with the asymptotics of function theory in finite-dimensional polydiscs. I will discuss some examples, old and new, of what these different viewpoints have led to, as well as connections to other areas.

There will be served coffee, tea and biscuits from 14.00.

Published June 12, 2013 8:45 AM - Last modified Feb. 3, 2014 11:02 AM