The (weak-$L^2$) Boundedness of The Quadratic Carleson Operator

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We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.
48 pages, 9 figures. Final version, to appear in GAFA. Minor typos corrected, additional explanations given

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Classical Analysis and ODEs, 42A99

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http://salesiana.dossiersoluciones.com/handle/123456789/168411

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2168
 http://arxiv.org/abs/0710.2168

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arXiv