On oscillatory integral operators with folding canonical relations
Studia Mathematica, Tome 132 (1999) no. 2, pp. 125-139
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Sharp $L^p$ estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × Y, under the assumption that the canonical relation $C_Φ$ projects to T*X and T*Y with fold singularities.
Keywords:
oscillatory integrals, Fourier integral operators, fold singularities
Affiliations des auteurs :
Allan Greenleaf, Andreas Seeger 1
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author = {Allan Greenleaf, Andreas Seeger},
title = {On oscillatory integral operators with folding canonical relations},
journal = {Studia Mathematica},
pages = {125--139},
publisher = {mathdoc},
volume = {132},
number = {2},
year = {1999},
doi = {10.4064/sm-132-2-125-139},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-132-2-125-139/}
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%0 Journal Article %A Allan Greenleaf, Andreas Seeger %T On oscillatory integral operators with folding canonical relations %J Studia Mathematica %D 1999 %P 125-139 %V 132 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm-132-2-125-139/ %R 10.4064/sm-132-2-125-139 %G en %F 10_4064_sm_132_2_125_139
Allan Greenleaf, Andreas Seeger. On oscillatory integral operators with folding canonical relations. Studia Mathematica, Tome 132 (1999) no. 2, pp. 125-139. doi: 10.4064/sm-132-2-125-139
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