Lectures on Analytic Function Spaces and their Applications -

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Résumé :
Preface.- Hardy Spaces.- The Dirichlet space.- Bergman space of the unit disc.- Model Spaces.- Operators on Function Spaces.- Truncated Toeplitz Operators.- Semigroups of weighted composition operators on spaces of holomorphic functions.- The Corona Problem.- A brief introduction to noncommutative function theory.- An invitation to the Drury-Arveson space.- References....

Biographie:

Javad Mashreghi is a mathematician and author working in fields of function space theory, functional analysis and complex analysis. He is a professeur titulaire at Laval University and was recently the 35th President of the Canadian Mathematical Society (2020-2022). He is immensely involved in various aspects of North America's mathematical community, having served on numerous editorial, administrative and selection committees all across Canada and the U.S. (CMS, AMS, Fields Institute, CRM, AARMS, NSERC, FQRNT, NSF). He is the editor-in-chief of the Canadian Mathematical Bulletin (2020-2025) and Concrete Operators (2018-2022), and the Analysis Section Editor of the Proceedings of the American Mathematical Society (2020-2027). Among his awards and distinctions, there are the IEEE Prize Paper Award, 2021, the Fellow of the Canadian Mathematical Society, 2019, the Khwarizmi International Award, Research Prize of IROST, 2009, which he declined, the G. de B. Robinson Award, 2004. As for publications, he has more than 120 articles, 12 books (e.g., published by Cambridge, Oxford, AMS and Springer) and 10 conference proceedings.