Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions

Details Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions

2006-02-26

arxiv.org/abs/math/0602584v1

Mathematics

Spectral Theory

33 pages

Scientific paper

We consider the Sturm-Liouville operator Lu=u''-q(x)u with regular but not
strongly regular boundary conditions. Under some supplementary assumptions we
prove that the set of potentials q(x) that ensure an asymptotically multiple
spectrum is everywhere dense in the space of summable functions.

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