Mathematische Nachrichten · 1997 · 11 citations · 15 references
Natural SciencesMathematicsDiscrete MathematicsMathematical PhysicsTheoretical PhysicsEigenvalue ProblemsOperator TheorySpectral AnalysisSpectral MethodsSpectral TheoryDiscrete Eigenvalue ProblemsDiscrete SpectrumEigenvaluesEigenvalues Of The LaplacianEssential SpectrumSpectral Theorem
Abstract Extending results of [HSS] on the construction of Neumann Laplacians of combs with given essential spectrum S = S [0,∞], we show that, in addition to the essential spectrum, a bounded sequence of discrete eigenvalues can be prescribed. More generally, we find that certain types of spectra can be constructed precisely, in a bounded interval [0, s ].
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