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Damping estimates for oscillatory integral operators with finite type singularities

Andrew Comech
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Abstract

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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Andrew Comech. 2006-09-05. Damping estimates for oscillatory integral operators with finite type singularities. https://arxiv.org/abs/math/0609145

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