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Bounds for the eigenvalues of separated Dirac operators

Published online by Cambridge University Press:  14 November 2011

B. J. Harris
B. J. Harris
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, Dekalb, Illinois 60115, U.S.A
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Synopsis

We develop a systematic method for calculating real numbers Λ1, and Λ2 such that there are no non-trivial solutions of the equation

which belong to L2(a, ∞) for λ> Λ1, or λ < Λ2. We also give conditions under which this equation has no solutions in L2(a,∞) for any real number λ.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 341 - 366
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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