Geodesic
On the Completeness of Systems of Root Functions of Differential Operators of Fractional Order with Matrix Coefficients
Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 317-320

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: differential operator of fractional order, root subspace, Birkhoff's theorem, function of Mittag-Leffler type, characteristic determinant, holomorphic function. 
A. V. Agibalova. On the Completeness of Systems of Root Functions of Differential Operators of Fractional Order with Matrix Coefficients. Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 317-320. http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a12/
@article{MZM_2010_88_2_a12,
     author = {A. V. Agibalova},
     title = {On the {Completeness} of {Systems} of {Root} {Functions} of {Differential} {Operators} of {Fractional} {Order} with {Matrix} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {317--320},
     year = {2010},
     volume = {88},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a12/}
}
TY  - JOUR
AU  - A. V. Agibalova
TI  - On the Completeness of Systems of Root Functions of Differential Operators of Fractional Order with Matrix Coefficients
JO  - Matematičeskie zametki
PY  - 2010
SP  - 317
EP  - 320
VL  - 88
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a12/
LA  - ru
ID  - MZM_2010_88_2_a12
ER  - 
%0 Journal Article
%A A. V. Agibalova
%T On the Completeness of Systems of Root Functions of Differential Operators of Fractional Order with Matrix Coefficients
%J Matematičeskie zametki
%D 2010
%P 317-320
%V 88
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a12/
%G ru
%F MZM_2010_88_2_a12

[1] M. A. Naimark, Lineinye differentsialnye operatory, Nauka, M., 1969 | MR | Zbl

[2] M. V. Keldysh, Dokl. AN SSSR, 77:1 (1951), 11–14 | MR | Zbl

[3] A. A. Shkalikov, Funkts. analiz i ego pril., 10:4 (1976), 69–80 | MR | Zbl

[4] A. P. Khromov, Matem. sb., 70:3 (1966), 310–329 | MR

[5] V. S. Rykhlov, Uch. zapiski TNU. Ser. matem., mekh., inform., kibernet., 16:1 (2003), 176–182

[6] M. M. Malamud, L. L. Oridoroga, Russ. J. Math. Phys., 8:3 (2001), 287–308 | MR | Zbl

[7] L. M. Luzhina, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1988, no. 1, 31–35 | MR | Zbl

[8] T. S. Aleroev, Kh. T. Aleroeva, Dokl. Adygskoi (Cherkesskoi) Mezhdunar. AN, 10:2 (2008), 9–13

[9] M. M. Dzhrbashyan, Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966 | MR | Zbl

[10] M. M. Malamud, Tr. MMO, 55, Izd-vo Mosk. un-ta, M., 1994, 73–148 | MR | Zbl