Seminars and Colloquia
Mathematics
Quadrature domains in higher dimensions
Wed, Jan 15, 2020,
02:30 PM to 03:30 PM
at Madhava Hall, 3rd floor, Main building
Dr Pranav Haridas
Kerala School of Mathematics
Abstract: In complex analysis, quadrature domains are those domains for which the integral of every function in the Bergman class of functions can be written as a fixed quadrature identity. In this talk, we prove a density theorem for quadrature domains in C^n. It is shown that quadrature domains are dense in the class of all product domains of the form where is a smoothly bounded pseudoconvex domain satisfying Bell's Condition R and is a smoothly bounded domain. We shall also discuss a recent result disproving a conjecture by Steven Bel
