The quadratic contribution to the backscattering transform in the rotation invariant case
(2010) International Conference on Integral Geometry and Tomography 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:
https://lup.lub.lu.se/record/1720510
- author
- Beltita, Ingrid and Melin, Anders LU
- organization
- publishing date
- 2010
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Backscattering transformation, Born approximation, spherical averages
- host publication
- 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
- conference location
- Stockholm, Sweden
- conference dates
- 2008-08-12 - 2008-08-15
- external identifiers
-
- wos:000282648200004
- scopus:78149346977
- ISSN
- 1930-8345
- 1930-8337
- 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
- 2016-04-01 10:27:09
- date last changed
- 2024-01-06 17:08:41
@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 = {{1930-8345}},
keywords = {{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}},
doi = {{10.3934/ipi.2010.4.599}},
volume = {{4}},
year = {{2010}},
}