Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ISU_2008_8_4_a3, author = {V. V. Kornev and A. P. Khromov}, title = {Operator integration with an involution having a~power singularity}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {18--33}, publisher = {mathdoc}, volume = {8}, number = {4}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2008_8_4_a3/} }
TY - JOUR AU - V. V. Kornev AU - A. P. Khromov TI - Operator integration with an involution having a~power singularity JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2008 SP - 18 EP - 33 VL - 8 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2008_8_4_a3/ LA - ru ID - ISU_2008_8_4_a3 ER -
%0 Journal Article %A V. V. Kornev %A A. P. Khromov %T Operator integration with an involution having a~power singularity %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2008 %P 18-33 %V 8 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2008_8_4_a3/ %G ru %F ISU_2008_8_4_a3
V. V. Kornev; A. P. Khromov. Operator integration with an involution having a~power singularity. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 4, pp. 18-33. http://geodesic.mathdoc.fr/item/ISU_2008_8_4_a3/
[1] Khromov A. P., “Ob obraschenii integralnykh operatorov s yadrami, razryvnymi na diagonalyakh”, Mat. zametki, 64:6 (1998), 932–942 | DOI | MR | Zbl
[2] Ilin V. A., “Neobkhodimye i dostatochnye usloviya bazisnosti i ravnoskhodimosti s trigonometricheskim ryadom spektralnykh razlozhenii, II”, Dif. uravneniya, 16:6 (1980), 980–1009 | MR | Zbl
[3] Sedletskii A. M., “Analiticheskie preobrazovaniya Fure i eksponentsialnye aproksimatsii, II”, Sovremennaya matematika. Fundamentalnye napravleniya, 6, Izd-vo MAI, M., 2003, 3–162
[4] Shkalikov A. A., “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9, 1983, 190–229 | MR | Zbl
[5] Kornev V. V., Khromov A. P., “O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh”, Mat. sb., 192:10 (2001), 33–50 | DOI | MR | Zbl
[6] Kurdyumov V. P., Khromov A. P., “O bazisakh Rissa iz sobstvennykh funktsii integralnogo operatora s peremennym predelom integrirovaniya”, Mat. zametki, 76:1 (2004), 97–110 | DOI | MR
[7] Khromov A. P., “Integralnye operatory s yadrami, razryvnymi na lomanykh liniyakh”, Mat. sb., 197:11 (2006), 115–142 | DOI | MR | Zbl
[8] Nikiforov A. F., Uvarov V. B., Osnovy teorii spetsialnykh funktsii, Nauka, M., 1974, 303 pp. | MR
[9] Vatson G. N., Teoriya besselevykh funktsii, Izd-vo inostr. lit., M., 1949
[10] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971, 576 pp. | MR
[11] Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969, 528 pp. | MR | Zbl
[12] Bellman B., Kuk K., Differentsialno-raznostnye uravneniya, Mir, M., 1967, 548 pp. | MR | Zbl
[13] Kuvardina L. P., Khromov A. P., “O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnogo operatora s involyutsiei”, Izv. vuzov. Matematika, 2008, no. 5, 67–76 | MR | Zbl