Regular and Completely Regular Differential Operators
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 636-640.

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

Keywords: ordinary differential operator, Birkhoff regularity, complete regularity, eigenfunction expansion theorem, Green kernel.
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E. A. Shiryaev; A. A. Shkalikov. Regular and Completely Regular Differential Operators. Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 636-640. http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a17/

[1] G. Birkhoff, Trans. Amer. Math. Soc., 9:4 (1908), 373–395 | DOI | MR | Zbl

[2] M. A. Naimark, Lineinye differentsalnye operatory, Nauka, M., 1969 | MR | Zbl | Zbl

[3] Ya. D. Tamarkin, O nekotorykh zadachakh teorii obyknovennykh lineinykh differentsialnykh uravnenii i o razlozhenii proizvolnykh funktsii v ryady, Tip-ya M. P. Frolovoi, Petrograd, 1917 | Zbl

[4] A. A. Shkalikov, Tr. sem. im. I. G. Petrovskogo, 9, 1983, 190–229 | MR | Zbl

[5] L. M. Luzhina, Diss. ... kand. fiz.-matem. nauk, MGU, M., 1991

[6] Ya. B. Lopatinskii, Ukr. matem. zhurn., 5:2 (1953), 123–151 | MR | Zbl

[7] S. Agmon, L. Nirenberg, Comm. Pure Appl. Math., 16 (1963), 121–239 | DOI | MR | Zbl

[8] M. S. Agranovich, M. I. Vishik, UMN, 19:3 (1964), 53–161 | MR | Zbl

[9] A. A. Shkalikov, Tr. sem. im. I. G. Petrovskogo, 14 (1989), 140–224 | MR | Zbl

[10] H. E. Benzinger, J. Differential Equations, 7:3 (1970), 478–496 | DOI | MR | Zbl

[11] A. M. Minkin, J. Math. Anal. Appl.

[12] A. A. Shkalikov, UMN, 34:5 (1979), 235–236 | MR | Zbl

[13] A. A. Vladimirov, Matem. zametki, 75:6 (2004), 941–943 | MR | Zbl

[14] E. A. Shiryaev, Matem. zametki, 77:6 (2005), 950–954 | MR | Zbl