### Gaps and bands of one dimensional periodic Schrödinger operators.

J. Garnett, Eugene Trubowitz (1984)

Commentarii mathematici Helvetici

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J. Garnett, Eugene Trubowitz (1984)

Commentarii mathematici Helvetici

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D. Bättig (1992)

Commentarii mathematici Helvetici

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Brown, R.C. (2008)

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Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one dimension. This allows us to improve on the known estimates of best constants in Lieb–Thirring inequalities for the sum of the negative eigenvalues for multidimensional Schrödinger operators.

Daoud Bshouty, Walter Hengartner (1978)

Commentarii mathematici Helvetici

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Alan Rose (1950)

Commentarii mathematici Helvetici

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