Oscillatory integral operators with low-order degeneracies
Classical Analysis and ODEs
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.math/0007167,
title = {Oscillatory integral operators with low-order degeneracies},
author = {Allan Greenleaf and Andreas Seeger},
journal= {arXiv preprint arXiv:math/0007167},
year = {2007}
}
Comments
Final version, with a few misprints corrected. To appear, Duke Math. Jour