On the two dimensional Bilinear Hilbert Transform

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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.
46 pages, 0 figures

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Classical Analysis and ODEs, Dynamical Systems, 42B20; 37A05

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http://salesiana.dossiersoluciones.com/handle/123456789/156555

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.1268
 http://arxiv.org/abs/0803.1268

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arXiv