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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Seminar in Functional Analysis
Professor Tao Mei
Baylor University
Coltar’s Identity for Hyperbolic Groups
Abstract:
The Hilbert transform is a cornerstone of the classical analysis. A key approach to establishing its Lp-boundedness is through Cotlar's identity, a powerful equation that not only yields optimal constants for the Lp bounds of the Hilbert transform but also generalizes to broader settings where the notion of "analytic functions" is meaningful. In this talk, I will revisit Cotlar’s identity and explore how modified versions extend to branches of free groups and hyperbolic groups.
May 6, 2025
11:00 AM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
