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Harmonic Analysis on Uniformly Rectifiable Sets and Applications to Complex Analysis of a Single and Several Variables

Presented by: 
Irina Mitrea
Date: 
Thursday 24th October 2019 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
In this talk I will discuss recent developments at the interface between Harmonic Analysis and Geometric Measure Theory (Calder\'on-Zygmund theory on Uniformly Rectifiable sets, a sharp divergence theorem with non-tangential boundary traces, Fatou-type theorems, etc.) and present their impact in problems arising in Complex Analysis, of a single and several variables, which make systematic use of singular  integral operators. 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons