English

Scattering theory and Banach space valued singular integrals

Spectral Theory 2012-11-29 v1

Abstract

We give a new sufficient condition for existence and completeness of wave operators in abstract scattering theory. This condition generalises both trace class and smooth approaches to scattering theory. Our construction is based on estimates for the Cauchy transforms of operator valued measures.

Keywords

Cite

@article{arxiv.1211.6694,
  title  = {Scattering theory and Banach space valued singular integrals},
  author = {Alexander Pushnitski and Alexander Volberg},
  journal= {arXiv preprint arXiv:1211.6694},
  year   = {2012}
}
R2 v1 2026-06-21T22:45:39.612Z