Christoph Thiele (University of California, Los Angeles, zur Zeit Universität Bonn): Carleson's theorem, variations and applications
Thursday, 13.01.2011 16:30 im Raum M5
A famous theorem of Carleson states that the Fourier series of a square integrable function on an interval converges almost everywhere. This theorem relates to at least three other topics in analysis: boundedness of generalized eigenfunctions of Schroedinger operators in one dimenson, weighted ergodic averages as in Bourgain's Return Times theorem, and the Hilbert transform along vectorfields. In the talk we discuss these connections.