@article{DVMG_2010_10_2_a5,
author = {L. V. Marchenko},
title = {The asymptotic distribution of eigenvalues of boundary problem for spherical domain},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {162--169},
year = {2010},
volume = {10},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a5/}
}
L. V. Marchenko. The asymptotic distribution of eigenvalues of boundary problem for spherical domain. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 162-169. http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a5/
[1] R. Kurant, D. Gilbert, Metody matematicheskoi fiziki, 1, Gosudarstvennoe izdatelstvo tekhniko-teoreticheskoi literatury, M.-L., 1951, 476 pp. | MR
[2] N. V. Kuznetsov, “Asimptoticheskoe raspredelenie sobstvennykh chastot ploskoi membrany v sluchae razdelyayuschikhsya peremennykh”, Differentsialnye uravneniya, 2:10 (1966), 1385–1402
[3] N. V. Kuznetsov, Asimptoticheskoe raspredelenie sobstvennykh chastot ploskoi membrany v sluchae razdelyayuschikhsya peremennykh, diss. ... kand. fiz.-matem. nauk, MFTI, M., 1965, 119 pp.
[4] L. V. Marchenko, “O sobstvennykh chastotakh nekotorykh trekhmernykh tsilindricheskikh tel”, Differentsialnye uravneniya, 44:7 (2008), 1002–1004 | MR | Zbl
[5] F. Olver, Asimptotika i spetsialnye funktsii, Nauka, M., 1990, 528 pp. | MR | Zbl
[6] A. Erdeii, Asimptoticheskie razlozheniya, Gosudarstvennoe izdatelstvo fiziko-matematicheskoi literatury, M., 1962, 128 pp.
[7] Spravochnik po spetsialnym funktsiyam s formulami, grafikami i tablitsami, ed. M. Abramovits, I. Stigan, Nauka, M., 1979, 832 pp. | MR
[8] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii. Funktsii Besselya, funktsii parabolicheskogo tsilindra, ortogonalnye mnogochleny, Nauka, M., 1974, 296 pp. | MR
[9] E. K. Titchmarsh, Teoriya dzeta-funktsii Rimana, Inostrannaya literatura, M., 1953, 408 pp.
[10] I. M. Vinogradov, Osnovy teorii chisel, Lan, SPb., 2004, 176 pp. | Zbl
[11] Matematicheskaya entsiklopediya, 1, ed. I. M. Vinogradov, Sovetskaya entsiklopediya, M., 1977 | MR