ON DILATION THEORY AND SPECTRAL-ANALYSIS OF DISSIPATIVE SCHRODINGER-OPERATORS IN WEYL LIMIT-CIRCLE CASE
MATHEMATICS OF THE USSR-IZVESTIYA, cilt.54, sa.2, ss.247-262, 1990 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 2
- Basım Tarihi: 1990
- Dergi Adı: MATHEMATICS OF THE USSR-IZVESTIYA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.247-262
- Süleyman Demirel Üniversitesi Adresli: Hayır
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.