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On the functions of one selfadjoint integral operator |
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| Authors: | V B Korotkov |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
| Abstract: | We construct a selfadjoint Akhiezer integral operator S on L 2(?1, 1) with the spectrum {?1; 0; 1} and the property that every function φ(S) that is not a multiple of S fails to be an Akhiezer integral operator. |
| Keywords: | Akhiezer integral operator function of a selfadjoint operator spectral function |
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