ON DILATION THEORY AND SPECTRAL-ANALYSIS OF DISSIPATIVE SCHRODINGER-OPERATORS IN WEYL LIMIT-CIRCLE CASE

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ALLAKHVERDIEV B.

MATHEMATICS OF THE USSR-IZVESTIYA, vol.54, no.2, pp.247-262, 1990 (Journal Indexed in SCI)

• Publication Type: Article / Article
• Volume: 54 Issue: 2
• Publication Date: 1990
• Title of Journal : MATHEMATICS OF THE USSR-IZVESTIYA
• Page Numbers: pp.247-262

Abstract

Dissipative Schrodinger operators are studied in Weyl's limit-circle case. A selfadjoint dilation and a spectral model of these operators are constructed and the characteristic function is computed. Theorems on the completeness of the eigenfunctions of the dissipative operators are proved.