The non-resonant bilinear Hilbert-Carleson operator
Cristina Benea (University of Nantes)
Abstract: We introduce a new class of bilinear operators BC_a acting as a merger between two classical objects in harmonic analysis: the bilinear Hilbert transform and the linear Carleson-Stein-Wainger operator. The two opposing features (modulation invariance versus modulation of the kernel by a monomial phase with space-depending coefficients) of BC_a require a two-resolutions analysis and the use of a dilated time-frequency portrait. This is joint work with F. Bernicot, V. Lie, M. Vitturi.
mathematical physicsanalysis of PDEsclassical analysis and ODEscombinatoricscomplex variablesfunctional analysisinformation theorymetric geometryoptimization and controlprobability
Audience: researchers in the topic
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