About one class of operators of transformation |
V. V. Katrakhov, E. D. Emtseva |
2007, issue 1-2, P. 62–78 |
Abstract |
In this paper the new class of operators of transformation for functions of one variable which can be used for studying singular elliptic regional problem in domain of space of Lobachevsky is described. |
Keywords: transformation operator, Liouville operator, Bessel operator, Sonin operators |
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References |
[1] V. V. Katraxov, “Operatory preobrazovaniya i psevdodifferencial'nye operatory”, Sibirskij matematicheskij zhurnal, 21:1 (1980), 86–97. [2] V. V. Katraxov, “Ob odnoj kraevoj zadache dlya uravneniya Puassona”, Matematicheskij sbornik, 182:6 (1991), 849–876. [3] V. V. Katraxov, L. S. Mazelis, Nepreryvnost', popolnenie, zamykanie v metricheskix prostranstvax, Izd-vo DVGU, Vladivostok, 2000, 112 s. [4] S. L. Sobolev, Vvedenie v teoriyu kubaturnyx formul, Nauka, M., 1974, 808 s. [5] G. Bejtmen, A. E'rdeji, Vysshie transcendentnye funkcii, t. 2, Nauka, M., 1974, 296 s. |