- 01-211 Kuperin Yu., Naboko S., Romanov R.
- Spectral analysis of transport operator:
functional model approach
(113K, 114K, LaTeX 2e )
Jun 5, 01
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Abstract. This paper presents the spectral analysis of the
dissipative one-speed transport operator for the cases of a
finite slab and of a finite body, by means of the Szokefalvi-Nagy
- Foias functional model. It is shown that the essential spectrum
of the operator is absolutely continuous with one possible
spectral singularity at point $0$. The absolutely continuous
component of the operator is studied in detail in the nontrivial
case, when the spectral singularity does occur.