From exponential bases to the discrete Hilbert transform

Thursday, May 7, 2015 - 3:30pm
111 MSB
Laura de Carli (Florida International University)

Abstract: In this talk I will show how a seemingly simple problem on exponential bases on L2 lead to the investigation of a one-parameter semigroup of operators on l2 whose infinitesimal generator is the discrete Hilbert transform. If time allows, I will also present other families of discrete operator that appear in connection with problems on exponential bases. Part of this work-in-progress is joint with my student Shaikh Gohin Samar, who is completing his master's at FIU. My talk will be accessible to graduate and advanced undergraduate students in Mathematics

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