Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_1993_54_2_a3,
author = {V. A. Lyubishkin and V. E. Podolskii},
title = {On the summability of regularized traces of differential operators},
journal = {Matemati\v{c}eskie zametki},
pages = {33--38},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_2_a3/}
}
V. A. Lyubishkin; V. E. Podolskii. On the summability of regularized traces of differential operators. Matematičeskie zametki, Tome 54 (1993) no. 2, pp. 33-38. http://geodesic.mathdoc.fr/item/MZM_1993_54_2_a3/
[1] Gelfand I. M., Levitan B. M., “Ob odnom prostom tozhdestve dlya sobstvennykh znachenii differentsialnogo operatora vtorogo poryadka”, DAN SSSR, 88 (1953), 593–596 | MR | Zbl
[2] Lidskii V. B., Sadovnichii V. A., “Regulyarizovannye summy kornei odnogo klassa tselykh funktsii”, Funktsion. analiz i ego pril., 1:2 (1967), 52–59 | MR | Zbl
[3] Sadovnichii V. A., Lyubishkin V. A., “Regulyarizovannye summy kornei odnogo klassa tselykh funktsii eksponentsialnogo tipa”, DAN SSSR, 256:4 (1981), 794–798 | MR
[4] Levin B. Ya., Ostrovskii I. V., “O malykh vozmuscheniyakh mnozhestva kornei funktsii tipa sinusa”, Izv. AN SSSR. Ser. mat., 43:1 (1979), 87–110 | MR
[5] Gasymov M. G., “O summe raznostei sobstvennykh znachenii dvukh samosopryazhennykh operatorov”, DAN SSSR, 150:6 (1963), 1202–1205 | MR | Zbl
[6] Gasymov M. G., Levitan B. M., “O summe raznostei sobstvennykh znachenii dvukh singulyarnykh operatorov Shturma–Liuvillya”, DAN SSSR, 151:5 (1963), 1014–1018 | MR
[7] Kostyuchenko A. G., O nekotorykh spektralnykh svoistvakh differentsialnykh operatorov, Diss. ...dokt. fiz.-mat. nauk, M., 1966
[8] Murtazin Kh. Kh., Amangildin T. T., “Asimptotika spektra operatora Shturma–Liuvillya”, Matem. sb., 110:1 (1977), 135—149 | MR
[9] Kozlov G. V., Lyubishkin V. A., “Regulyarizovannye sledy vysshikh poryadkov dlya garmonicheskogo ostsillyatora”, Differents. uravneniya, 29:1 (1993) | Zbl
[10] Sadovnichii V. A., Dubrovskii V. V., “O nekotorykh sootnosheniyakh dlya sobstvennykh chisel differentsialnykh operatorov. Formuly sledov dlya differentsialnykh operatorov v chastnykh proizvodnykh”, Differents. uravneniya, 13:11 (1977), 2033–2042 | MR
[11] Sadovnichii V. A., Dubrovskii V. V., “Klassicheskaya formula regulyarizovannogo sleda dlya sobstvennykh chisel operatora Laplasa–Beltrami s potentsialom na sfere”, DAN SSSR, 319:1 (1991), 61–62 | MR
[12] Dubrovskii V. V., Kunakova E. Yu., “Formula pervogo regulyarizovannogo sleda stepeni operatora Shturma–Liuvillya na treugolnike”, Differents. uravneniya, 28:7 (1992), 1274–1276 | MR | Zbl
[13] Lyubishkin V. A., “Regulyarizovannyi sled dvumernogo garmonicheskogo ostsillyatora”, Matematicheskie zametki, 53:3 (1993), 156–158 | MR | Zbl
[14] Fujiwara O., “On asymptotic formula for the Green operators for elliptic operators on compact manifolds”, J. Fac. Sci. Univ. Tokyo. Sec. I, 14:2 (1967), 251–283 | MR | Zbl
[15] Greiner P., “An asymptotic expansion for the head equation”, Arch. Ration Mech. and Anal., 41:1 (1971), 163–218 | DOI | MR | Zbl
[16] Teilor M., Psevdodifferentsialnye operatory, Mir, M., 1985
[17] Seely R. T., “Complex powers of an elliptic operator”, Proc. Symp. in Pure Mach., 10 (1967), 288–302
[18] Agranovich M. S., “Ob ellipticheskikh psevdodifferentsialnykh operatorakh na zamknutoi krivoi”, Tr. MMO, 47, URSS, M., 1984, 22–67 | MR | Zbl
[19] Sadovnichii V. A., “O slede raznosti dvukh differentsialnykh operatorov vysshikh poryadkov”, Differents. uravneniya, 2:12 (1966), 1611–1624 | MR | Zbl