Caltech/UCLA/USC Joint Analysis Seminar

Sharp L^p estimates for oscillatory integral operators of arbitrary signature

Marina Iliopoulou, School of Mathematics, Statistics and Actuarial Science, University of Kent,

The restriction problem in harmonic analysis asks for L^p bounds on the Fourier transform of functions defined on curved surfaces. In this talk, we will present restriction estimates for hyperbolic paraboloids, that depend on the signature of the paraboloids. These estimates still hold, and are sharp, in the variable coefficient regime. This is joint work with Jonathan Hickman.

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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].