CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR
نویسندگان
چکیده
منابع مشابه
Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator
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 and to compute some of ...
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ژورنال
عنوان ژورنال: Mathematika
سال: 2010
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579310000616