On the two dimensional Bilinear Hilbert Transform
Classical Analysis and ODEs
2008-03-11 v1 Dynamical Systems
Abstract
We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.
Keywords
Cite
@article{arxiv.0803.1268,
title = {On the two dimensional Bilinear Hilbert Transform},
author = {Ciprian Demeter and Christoph Thiele},
journal= {arXiv preprint arXiv:0803.1268},
year = {2008}
}
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46 pages, 0 figures