Uniform estimates for cubic oscillatory integrals

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dc.creatorGressman, Philip T.
dc.date2007-07-17
dc.date2007-07-19
dc.date.accessioned2026-07-07T08:18:56Z
dc.date.available2026-07-07T08:18:56Z
dc.descriptionThis paper establishes the optimal decay rate for scalar oscillatory integrals in $n$ variables which satisfy a nondegeneracy condition on the third derivatives. The estimates proved are stable under small linear perturbations, as encountered when computing the Fourier transform of surface-carried measures. The main idea of the proof is to construct a nonisotropic family of balls which locally capture the scales and directions in which cancellation occurs.
dc.description22 pages; v2 added references
dc.identifierhttps://arxiv.org/abs/0707.2557
dc.identifierhttp://arxiv.org/abs/0707.2557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134604
dc.subjectClassical Analysis and ODEs
dc.titleUniform estimates for cubic oscillatory integrals
dc.typetext

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