Oscillatory integral operators with low-order degeneracies.

DOI10.1215/S0012-9074-02-11231-9zbMath1033.35164arXivmath/0007167MaRDI QIDQ1847917

Allan Greenleaf, Andreas Seeger

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007167

zbMATH Keywords

singularitiesswallowtails\(L^2\)-Sobolev estimates for Fourier integral operatorssharp estimates for the norm of oscillatory integralsWhitney cupsWhitney folds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Integral operators (47G10) Fourier integral operators applied to PDEs (35S30)

Related Items

Elements of functional calculus and \(L^2\) regularity for some classes of Fourier integral operators, Meromorphic continuations of local zeta functions and their applications to oscillating integrals, Analysis and applications: The mathematical work of Elias Stein, \(L^p\) decay estimates for weighted oscillatory integral operators on \(\mathbb R\), Decay rates of oscillatory integral operators in “1 + 2” dimensions, A survey on oscillatory integral operators

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