Composition of Fourier integral operators with fold and blowdown singularities

Show full item record

Title: Composition of Fourier integral operators with fold and blowdown singularities
Author: Felea, Raluca
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.
Record URI: http://hdl.handle.net/1850/4663
Publishers URL: http://dx.doi.org/10.1080/03605300500299968
Date: 2005-11

Files in this item

Files Size Format View

An open access version of this file is not available. Check "Publisher URL" field for access

This item appears in the following Collection(s)

Show full item record

Search RIT DML


Advanced Search

Browse