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

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Atıf İçin Kopyala

ALLAKHVERDIEV B.

MATHEMATICS OF THE USSR-IZVESTIYA, cilt.54, ss.247-262, 1990 (SCI İndekslerine Giren Dergi)

• Cilt numarası: 54 Konu: 2
• Basım Tarihi: 1990
• Dergi Adı: MATHEMATICS OF THE USSR-IZVESTIYA
• Sayfa Sayıları: ss.247-262

Özet

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.