%0 Journal Article
%T Analysis of the quadratic term in the backscattering transformation
%A Ingrid Beltita
%A Anders Melin
%J Mathematics
%D 2008
%I arXiv
%X The quadratic term in the Taylor expansion at the origin of the backscattering transformation in odd dimensions $n\ge 3$ gives rise to a symmetric bilinear operator $B_2$ on $C_0^\infty({\mathbb R}^n)\times C_0^\infty({\mathbb R}^n)$. In this paper we prove that $B_2$ extends to certain Sobolev spaces with weights and show that it improves both regularity and decay.
%U http://arxiv.org/abs/0801.2230v1