Oscillatory integral operators with low-order degeneracies

2000/07/26 by Allan Greenleaf, Andreas Seeger, Greenleaf, Allan +1
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #math.CA #msc:35S30 #msc:42B99 #msc:58K35

paper · pdf · doi:10.48550/arxiv.math/0007167

Final version, with a few misprints corrected. To appear, Duke Math. Jour

arxiv created 2002/02/20 · arxiv updated 2009/11/30

Abstract

Sharp L² 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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