Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem

Details Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem

2011-01-28

arxiv.org/abs/1101.5426v1

Mathematics

Spectral Theory

25 pages

Scientific paper

We prove that the potential of a Sturm--Liouville operator depends
analytically and Lipschitz continuously on the spectral data (two spectra or
one spectrum and the corresponding norming constants). We treat the class of
operators with real-valued distributional potentials in the Sobolev class
W^{s-1}_2(0,1), s\in[0,1].

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