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


ALLAKHVERDIEV B.

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

  • 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.