dc.contributor.author | Felea, Raluca | en_US |
dc.date.accessioned | 2007-09-11T03:42:36Z | en_US |
dc.date.available | 2007-09-11T03:42:36Z | en_US |
dc.date.issued | 2005-11 | en_US |
dc.identifier.citation | Communications in Partial Differential Equations 30N12 (2005) 1717-1740 | en_US |
dc.identifier.issn | 1532-4133 | en_US |
dc.identifier.uri | http://hdl.handle.net/1850/4663 | en_US |
dc.description.abstract | The purpose of this work is to present results about the composition of Fourier integral operators with certain singularities, for which the composition is not again a Fourier integral operator. The singularities considered here are folds and blowdowns. We prove that for such operators, the Schwartz kernel of F*F belongs to a class of distributions associated to two cleanly intersection Lagrangians. Such Fourier integral operators appear in integral geometry, inverse acoustic scattering theory and Synthetic Aperture Radar imaging, where the composition calculus can be used as a tool for finding approximate inversion formulas and for recovering images. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Taylor and Francis | en_US |
dc.relation.ispartofseries | vol. 30 | en_US |
dc.relation.ispartofseries | no. 12 | en_US |
dc.subject | Fold and blowdown singularities | en_US |
dc.subject | Fourier integral operators | en_US |
dc.subject | Microlocal analysis | en_US |
dc.subject | Synthetic Aperture Radar imaging | en_US |
dc.title | Composition of Fourier integral operators with fold and blowdown singularities | en_US |
dc.type | Article | en_US |
dc.identifier.url | http://dx.doi.org/10.1080/03605300500299968 | |