# Wydawnictwa / Czasopisma IMPAN / Dissertationes Mathematicae / Wszystkie zeszyty

## Absolutely continuous and singular spectral shift functions

### Tom 480 / 2011

Dissertationes Mathematicae 480 (2011), 1-102 MSC: Primary 47A40; Secondary 47A70, 81U99. DOI: 10.4064/dm480-0-1

#### Streszczenie


It is also shown that eigenvalues of the scattering matrix $S(\lambda;H_0+V,H_0)$ can be connected to $1$ in two natural ways, and that the singular spectral shift function measures the difference of the spectral flows of eigenvalues of the scattering matrix.

#### Autorzy

• Nurulla AzamovSchool of Computer Science
Engineering and Mathematics
Flinders University
Bedford Park, SA 5042, Australia
e-mail

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