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

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

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.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Titel på värdpublikationInverse Problems and Imaging
FörlagAmerican Institute of Mathematical Sciences
Sidor599-618
Volym4
StatusPublished - 2010
PublikationskategoriForskning
Peer review utfördJa
EvenemangInternational Conference on Integral Geometry and Tomography - Stockholm, Sverige
Varaktighet: 2008 aug 122008 aug 15

Publikationsserier

Namn
Nummer4
Volym4
ISSN (tryckt)1930-8337
ISSN (elektroniskt)1930-8345

Konferens

KonferensInternational Conference on Integral Geometry and Tomography
LandSverige
OrtStockholm
Period2008/08/122008/08/15