Damping estimates for oscillatory integral operators with finite type singularities

Mathematics – Analysis of PDEs

Scientific paper

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17 pages

Scientific paper

We derive damping estimates and asymptotics of $L^p$ operator norms for
oscillatory integral operators with finite type singularities. The methods are
based on incorporating finite type conditions into $L^2$ almost orthogonality
technique of Cotlar-Stein.

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