Extensions, Dilations and Functional Models of Singular Sturm-Liouville Operators
نویسندگان
چکیده
منابع مشابه
On the Spectral Theory of Singular Indefinite Sturm-liouville Operators
We consider a singular Sturm-Liouville differential expression with an indefinite weight function and we show that the corresponding self-adjoint differential operator in a Krein space locally has the same spectral properties as a definitizable operator.
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We derive eigenvalue asymptotics for Sturm–Liouville operators with singular complex-valued potentials from the space W 2 (0, 1), α ∈ [0, 1], and Dirichlet or Neumann–Dirichlet boundary conditions. We also give application of the obtained results to the inverse spectral problem of recovering the potential by these two spectra.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2005
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069735