On the two dimensional Bilinear Hilbert Transform

Details On the two dimensional Bilinear Hilbert Transform On the two dimensional Bilinear Hilbert Transform

2008-03-08

arxiv.org/abs/0803.1268v1

Mathematics

Classical Analysis and ODEs

46 pages, 0 figures

Scientific paper

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.

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