Welcome to the new Indico service!
SMC Colloquium

Analysis on polydiscs

by Kristian Seip (Norwegian University of Science and Technology, Trondheim)

Oskar Klein auditorium ()

Oskar Klein auditorium


Rudin's classic treatise "Function Theory in Polydiscs" (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 H. Bohr and Bohnenblust--Hille several decades earlier; here the main issue is function theory in the infinite-dimensional polydisc or, more precisely, estimates in finite-dimensional polydiscs that are independent of the dimension.