Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials

Details Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials

2004-07-14

arxiv.org/abs/math/0407252v2

Journal of Functional Analysis 238 (2006), 27-57

Mathematics

Spectral Theory

Final version as appeared in JFA

Scientific paper

10.1023/B:MPAG.0000024658.58535.

We derive eigenvalue asymptotics for Sturm--Liouville operators with singular
complex-valued potentials from the space $W^{\al-1}_{2}(0,1)$, $\al\in[0,1]$,
and Dirichlet or Neumann--Dirichlet boundary conditions. We also give
application of the obtained results to the inverse spectral problem of
recovering the potential from these two spectra.

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