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Oscillatory integral operators with low-order degeneracies

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arxiv math/0007167 v3 pith:7GJAQ5NM submitted 2000-07-26 math.CA

Oscillatory integral operators with low-order degeneracies

classification math.CA
keywords integraloperatorsoscillatoryassociatedcanonicalcuspdegeneraciesestimates
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Sharp L^2 estimates for oscillatory integral operators and Fourier integral operators associated with canonical relations having two-sided cusp or one-sided swallowtail singularities are obtained.

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