Geodesic
Discreteness of the Spectrum of a Polar Differential Operation in the Space of Vector Functions
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 351-355 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sufficient conditions for the discreteness of the spectrum of a polar differential operation in the space of vector functions are obtained.
Keywords: polar differential operation, space of vector functions, spectral theory, discrete spectrum, matrix function, splitting principle, deficiency index. 
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M. G. Gimadislamov. Discreteness of the Spectrum of a Polar Differential Operation in the Space of Vector Functions. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 351-355. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a3/

[1] B. M. Levitan, G. A. Suvorchenkova, “Dostatochnye usloviya diskretnosti spektra uravneniya Shturma–Liuvillya s operatornym koeffitsientom”, Funkts. analiz i ego pril., 2:2 (1968), 56–62 | MR | Zbl

[2] R. S. Ismagilov, “Ob asimptotike spektra differentsialnogo operatora v prostranstve vektor-funktsii”, Matem. zametki, 9 (1971), 667–676 | MR | Zbl

[3] R. S. Ismagilov, A. G. Kostyuchenko, “O spektre vektornogo operatora Shredingera”, Dokl. RAN, 411:4 (2006), 449–451 | MR

[4] M. G. Gimadislamov, R. S. Ismagilov, “O diskretnosti spektra operatora Shturma–Liuvillya v prostranstve vektor-funktsii”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody i prilozheniya, T. 4, In-t matem. s VTs UNTs RAN, Ufa, 1996, 29–36

[5] I. M. Glazman, Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, M., 1963 | MR | Zbl