Colloquium
4:00 p.m., Monday (January 9, 2006)
MATH 105
Malabika Pramanik
Caltech
Optimal Sobolev regularity of a class of Fourier integral operators
Abstract: We discuss a class of Fourier integral operators that arises from averaging,
and derive sharp L^p-Sobolev regularity properties of these operators for large values of p.
Our results make use of a deep estimate of Wolff associated to light cones. This is joint
work with Andreas Seeger.
Refreshments will be served at 3:45 p.m. (MATX 1115, Math Lounge).
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