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math.CA2020★ 2 cited
Fourier decay of fractal measures on hyperboloids
Alex Barron, M. Burak Erdogan, Terence L. J. Harris
Let be an -dimensional probability measure. We prove new upper and lower bounds on the decay rate of hyperbolic averages of the Fourier transform . More precisely…
math.CA2005
Mixed norm estimates for certain generalized Radon transforms
Michael Christ, M. Burak Erdogan
In this paper we investigate the mapping properties in Lebesgue-type spaces of certain generalized Radon transforms defined by integration over curves.