On the Two dimensional Bilinear Hilbert Transform and Z^2 Actions

ANALYSIS SEMINAR
Topic:On the Two dimensional Bilinear Hilbert Transform and Z^2 Actions
Speaker:Ciprian Demeter
Affiliation:University of California at Los Angeles and Member, School of Mathematics
Date:Wednesday, May 14
Time/Room:2:00pm - 3:00pm/West Bldg. Lecture Hall

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from Z^2 actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory. This is joint work with Christoph Thiele.