Laura De Carli, Dmitriy Gorbachev, Sergey Tikhonov
Published 2015-09-03Version 1
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann-Lebesgue estimates and versions of the uncertainty principle for the Fourier transform.
Split functions, Fourier transforms and multipliers
Optimal extension of the Fourier transform and convolution operator on compact groups
Restriction theorems for Hankel operators
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