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An extrapolation principle for the Fourier operator

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If you have a question about this talk, please contact Georg Maierhofer .

In this talk we will discuss some situations in which a Fourier inequality (including the classical Hausdorff-Young and Hardy-Littlewood estimates) can be extended to a broader class of operators. We will also see how this can be used to solve two classical problems: the Bernstein problem of absolute convergence of Fourier series and the characterization of Fourier inequalities with monotonic weights.

This talk is part of the Applied and Computational Analysis series.

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