Differences of spectral projections and scattering matrix

2007/02/09 by Alexander Pushnitski, Pushnitski, Alexander
Mathematics · #47A40 (Primary) 35P25 #47B35 (Secondary) #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:35P25 #msc:47A40 #msc:47B35

paper · pdf · doi:10.48550/arxiv.math/0702253

Latex, 14 pages

arxiv created 2007/02/09 · arxiv updated 2009/12/01

Abstract

In the scattering theory framework, we point out a connection between the spectrum of the scattering matrix of two operators and the spectrum of the difference of spectral projections of these operators.

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