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The quadratic contribution to the backscattering transform in the rotation invariant case

Beltita, Ingrid and Melin, Anders LU (2010) International Conference on Integral Geometry and Tomography In Inverse Problems and Imaging 4(4). p.599-618
Abstract
Considerations of the backscattering data for the Schrodinger operator H-v = -Delta + v in R-n, where n >= 3 is odd, give rise to an entire analytic mapping from C-0(infinity)(R-n) to C-0(infinity)(R-n), the backscattering transformation. The aim of this paper is to give formulas for B-2(v, w) where B-2 is the symmetric bilinear operator that corresponds to the quadratic part of the backscattering transformation and v and w are rotation invariant.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Backscattering transformation, Born approximation, spherical averages
in
Inverse Problems and Imaging
volume
4
issue
4
pages
599 - 618
publisher
American Institute of Mathematical Sciences
conference name
International Conference on Integral Geometry and Tomography
external identifiers
  • wos:000282648200004
  • scopus:78149346977
ISSN
1930-8337
1930-8345
DOI
10.3934/ipi.2010.4.599
language
English
LU publication?
yes
id
5c50b55c-2b76-406b-b61e-9cd12bdfad98 (old id 1720510)
date added to LUP
2010-12-09 13:17:51
date last changed
2018-05-29 11:57:05
@inproceedings{5c50b55c-2b76-406b-b61e-9cd12bdfad98,
  abstract     = {Considerations of the backscattering data for the Schrodinger operator H-v = -Delta + v in R-n, where n >= 3 is odd, give rise to an entire analytic mapping from C-0(infinity)(R-n) to C-0(infinity)(R-n), the backscattering transformation. The aim of this paper is to give formulas for B-2(v, w) where B-2 is the symmetric bilinear operator that corresponds to the quadratic part of the backscattering transformation and v and w are rotation invariant.},
  author       = {Beltita, Ingrid and Melin, Anders},
  booktitle    = {Inverse Problems and Imaging},
  issn         = {1930-8337},
  keyword      = {Backscattering transformation,Born approximation,spherical averages},
  language     = {eng},
  number       = {4},
  pages        = {599--618},
  publisher    = {American Institute of Mathematical Sciences},
  title        = {The quadratic contribution to the backscattering transform in the rotation invariant case},
  url          = {http://dx.doi.org/10.3934/ipi.2010.4.599},
  volume       = {4},
  year         = {2010},
}