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CORRESPONDENCE OF THE EIGENVALUES OF A NON-SELF-ADJOINT OPERATOR TO THOSE OF A SELF-ADJOINT OPERATOR
Published online by Cambridge University Press: 13 July 2010
Abstract
We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjoint operator with compact resolvent; hence there are infinitely many real eigenvalues which accumulate only at ±∞. We use this result to determine the asymptotic distribution of the eigenvalues.
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- Copyright © University College London 2010
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