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Operators with singular continuous spectrum, V. Sparse potentials
Authors:B. Simon   G. Stolz
Affiliation:Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, California 91125-0001 ; Department of Mathematics, University of Alabama at Birmingham, Birmingham, Alabama 35294-1170
Abstract:By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Schrödinger operators, we are able to construct explicit potentials which yield purely singular continuous spectrum.

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