On oscillatory integral operators with folding canonical relations

Authors
Greenleaf, A Seeger, A
Citation
A. Greenleaf et A. Seeger, On oscillatory integral operators with folding canonical relations, STUD MATH, 132(2), 1999, pp. 125-139
Citations number
25
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
132
Issue
2
Year of publication
1999
Pages
125 - 139
Database
ISI
SICI code
0039-3223(1999)132:2<125:OOIOWF>2.0.ZU;2-P
Abstract
Sharp L-p estimates are proven for oscillatory integrals with phase functio ns Phi(x, y), (x, y) epsilon X x Y, under the assumption that the canonical relation C-Phi projects to T*X and T*Y with fold singularities.