Dirichlet Spaces and de Branges-Rovnyak Spaces (14rit183)


(Laval University)


The Banff International Research Station will host the "Dirichlet spaces and de Branges-Rovnyak spaces" workshop from to .

This project brings together two of the cornerstones of mathematical analysis: complex analysis
(calculus with complex numbers) and functional analysis (the analysis of infinite-dimensional spaces).
Each of these contributes to the understanding of the other, and together they lead to numerous
applications in science and engineering.

There are many examples of infinite-dimensional spaces of functions, among them two very interesting
families that have recently come to the fore, Dirichlet spaces and de Branges--Rovnyak spaces.
The purpose of this project is to solve three specific problems concerning these families and
the relationship between them. The ultimate aim is to improve our understanding of these spaces and to
develop new techniques to analyze them.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).