Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2593

 Title: Generalized Backscattering and the Lax-Phillips Transform Authors: Melrose, RichardUhlmann, Gunther Keywords: Radon TransformFredholm FamilyHolomorphyPotential ScatteringInversion Issue Date: 2008 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 34, No 1, (2008), 355p-372p Abstract: Using the free-space translation representation (modified Radon transform) of Lax and Phillips in odd dimensions, it is shown that the generalized backscattering transform (so outgoing angle w = Sq in terms of the incoming angle with S orthogonal and Id-S invertible) may be further restricted to give an entire, globally Fredholm, operator on appropriate Sobolev spaces of potentials with compact support. As a corollary we show that the modified backscattering map is a local isomorphism near elements of a generic set of potentials. Description: 2000 Mathematics Subject Classification: 35P25, 35R30, 58J50. URI: http://hdl.handle.net/10525/2593 ISSN: 1310-6600 Appears in Collections: Volume 34, Number 1

Files in This Item:

File Description SizeFormat