@inproceedings{5c50b55c2b76406bb61e9cd12bdfad98,

title = "The quadratic contribution to the backscattering transform in the rotation invariant case",

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.",

keywords = "Backscattering transformation, Born approximation, spherical averages",

author = "Ingrid Beltita and Anders Melin",

year = "2010",

doi = "10.3934/ipi.2010.4.599",

language = "English",

volume = "4",

publisher = "American Institute of Mathematical Sciences",

number = "4",

pages = "599--618",

booktitle = "Inverse Problems and Imaging",

address = "United States",

note = "International Conference on Integral Geometry and Tomography ; Conference date: 12-08-2008 Through 15-08-2008",

}