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arXiv · 0803.1268

On the two dimensional Bilinear Hilbert Transform

Ciprian Demeter·Christoph Thiele
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Abstract

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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Ciprian Demeter, Christoph Thiele. 2008-03-08. On the two dimensional Bilinear Hilbert Transform. https://arxiv.org/abs/0803.1268

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