most citedInverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

30 citations

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2 papers

cond-mat.str-el2005★ 16 cited

Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields

Oleg Derzhko, Johannes Richter

We consider the quantum spin- Heisenberg antiferromagnet on the two- and three-dimensional pyrochlore lattices and examine a spin-Peierls mechanism of lowering the total e…

math.FA2004★ 30 cited

Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

R. O. Hryniv, Ya. V. Mykytyuk

We solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1]. The potent…