The description of Dirac operator spectra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 18-26
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In the present paper the investigations of the parer [1] on one-dimensional Dirac system are generalized for the infinite-dimensional case. The description of spectra of selfadjoint extensions $D_k$ of the operator $D_0$ is given depending on the properties of boundary projectors $P_k$ which determine such extensions.
@article{UZERU_1987_1_a3,
author = {P. E. Melik-Adamian},
title = {The description of {Dirac} operator spectra},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {18--26},
year = {1987},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_1987_1_a3/}
}
P. E. Melik-Adamian. The description of Dirac operator spectra. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 18-26. http://geodesic.mathdoc.fr/item/UZERU_1987_1_a3/
[1] E. I. Titchmarsh, “Some Eigenfunction Expansion Formulae”, Proc. London Math. Soc., 11:41 (1961) | MR
[2] F. E. Melik-Adamyan, “O kanonicheskikh differentsialnykh operatorakh v gilbertovom prostranstve”, Izv. AN Arm. SSR, 12:6 (1977) | Zbl
[3] N. Danford, Dzh. T. Shvarts, Lineinye operatory, v. 2, Mir, M., 1966
[4] M. Sh. Birman, M. 3. Solomyak, Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, Izd-vo LGU, L., 1980