University of Birmingham > Talks@bham > Analysis Seminar > Properties of Bessel functions and Laplacian of signed weighted graphs related to the sharp Tomas-Stein estimate for the circle

Properties of Bessel functions and Laplacian of signed weighted graphs related to the sharp Tomas-Stein estimate for the circle

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We show how the sharp constant for the L2-L6 adjoint restriction estimate for the circle can be obtained by combining a sharp estimate for a trilinear operator with signed kernel and modelled on double convolutions of measures supported on circles, together with the positive semidefinitiveness of the Laplacian matrix of some signed weighted graphs associated to the discretization of the problem obtained by Fourier series decomposition.

(joint work with Diogo Oliveira e Silva, Christoph Thiele, Emanuel Carneiro, Pavel Zorin-Kranich)

This talk is part of the Analysis Seminar series.

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