Scattering theory and Banach space valued singular integrals

2012/11/28 by Alexander Pushnitski, Alexander Volberg, Pushnitski, Alexander +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #math.SP #msc:47A40

paper · pdf · doi:10.48550/arxiv.1211.6694

arxiv created 2012/11/28 · arxiv updated 2012/11/29

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.

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