On the two dimensional Bilinear Hilbert Transform
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math.DS
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bilineardimensionalhilberttheorytransformactionsanalysisarising
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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.
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