Characterization of the spectrum of irregular boundary value problem for the Sturm-Liouville operator

Details Characterization of the spectrum of irregular boundary value problem for the Sturm-Liouville operator Characterization of the spectrum of irregular boundary value problem for the Sturm-Liouville operator

2009-03-16

arxiv.org/abs/0903.2699v1

Mathematics

Spectral Theory

16 pages

Scientific paper

We consider the spectral problem generated by the Sturm-Liouville equation
with an arbitrary complex-valued potential q(x) and irregular boundary
conditions. We establish necessary and sufficient conditions for a set of
complex numbers to be the spectrum of such an operator.

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