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

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.

Melin, AndersLund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)math-ame (författare)
Matematik (naturvetenskapliga fakulteten)Matematikcentrum (creator_code:org_t)

Ingår i:Inverse Problems and Imaging: American Institute of Mathematical Sciences (AIMS)4:4, s. 599-6181930-83451930-8337

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