Gennady Uraltsev, University of Virginia, Some results in Banach space-valued time frequency analysis
ZoomSIO (Singular Integral Operator) theory and, Calderón-Zygmund theory specifically, developed starting from the '60s, provides a vast array of tools for dealing with operators that resemble the Hilbert transform, an ubiquitous operator in Complex Analysis, semi-linear PDEs, and many other branches of mathematics. Results valid for complex-valued functions were extended to Banach spaces-valued functions thanks…