Optimal bounds for the spectrum of a one-dimensional Schrödinger operator

Author:

Bennewitz C.,Veling E. J. M.

Publisher

Birkhäuser Basel

Reference9 articles.

1. H. Brezis and E. Lieb, A relation between pointwise convergence of functions and convergence of functionals. Proc. Amer. Math. Soc. 88 (1983), 486–490.

2. H. Egnell, Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems. Ann. della Scuola Norm. Sup. di Pisa XIV (1987), 1–48.

3. M. Essén, On estimating eigenvalues of a second order linear differential operator. General Inequalities 5 (ed. by W. Walter), 347–366, Birkhäuser 1987.

4. W. N. Everitt, On the spectrum of a second order linear differential equation with a p-integrable coefficient. Applicable Anal. 2 (1972), 143–160.

5. E. M. Harrell II, Hamiltonian operators with maximal eigenvalues. J. of Math. Phys. 25 (1984), 48–51.

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1. Positive eigenvalues of second order boundary value problems and a theorem of M. G. Krein;Proceedings of the American Mathematical Society;2002-03-15

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