On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator


Dernek N. , Veliev O.

ISRAEL JOURNAL OF MATHEMATICS, cilt.145, ss.113-123, 2005 (SCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 145
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/bf02786687
  • Dergi Adı: ISRAEL JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.113-123

Özet

In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-adjoint Sturm-Liouville operators with periodic and antiperiodic boundary conditions, when the potential is an arbitrary summable complex-valued function. Then using these asymptotic formulas, we find the conditions on Fourier coefficients of the potential for which the eigenfunctions and associated functions of these operators form a Riesz basis in L-2(0, 1).