On the two dimensional Bilinear Hilbert Transform - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: We investigate the Bilinear Hilbert Transform in the plane and the pointwiseconvergence of bilinear averages in Ergodic theory, arising from $\Z^2$actions. Our techniques combine novel one and a half dimensional phase-spaceanalysis with more standard one dimensional theory.



Author: Ciprian Demeter, Christoph Thiele

Source: https://arxiv.org/



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