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The Discrete Spectrum in the Gaps of the Continuous One for Non-Signdefinite Perturbations with a Large Coupling Constant

✍ Scribed by O.L. Safronov

Publisher
Springer
Year
1998
Tongue
English
Weight
157 KB
Volume
193
Category
Article
ISSN
0010-3616

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Given two self-adjoint operators A and V = V + -V -, we study the motion of the eigenvalues of the operator A t = A -tV as t increases. Let α > 0 and let λ be a regular point for A. We consider the quantities N + V λ α , N -V λ α , and N 0 V λ α defined as the number of eigenvalues of the operator A

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