Geodesic
On the convergence of multiple Fourier–Hermite series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 11, pp. 1637-1657 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Abilov; F. V. Abilova. On the convergence of multiple Fourier–Hermite series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 11, pp. 1637-1657. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_11_a1/

[1] Abilov V. A., Abilova F. V., “Nekotorye voprosy skhodimosti kratnykh ryadov Fure”, Zh. vychisl. matem. i matem. fiz., 39:12 (1999), 1951–1961 | MR | Zbl

[2] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1989 | MR

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1969 | MR

[4] Dzhekson D., Ryady Fure i ortogonalnye polinomy, Izd-vo inostr. lit., M., 1948

[5] Kolmogorov A. N., Izbrannye trudy. Matematika i mekhanika, Nauka, M., 1987 | MR

[6] Sege G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962

[7] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1965

[8] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR

[9] Tikhomirov V. M., “Poperechniki mnozhestv v funktsionalnykh prostranstvakh i teoriya nailuchshikh priblizhenii”, Uspekhi matem. nauk, 15:3(93) (1960), 81–120 | MR | Zbl

[10] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965

[11] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Nauka, M., 1960

[12] Abilov V. A., Agakhanov S. A., “Priblizhenie differentsiruemykh funktsii summami Fure–Ermita”, Matem. zametki, 6:1 (1969), 35–46 | MR | Zbl

[13] Abilov V. A., “O koeffitsientakh ryada Fure–Ermita nepreryvnykh funktsii”, Izv. vuzov. Matematika, 1969, no. 12(91), 3–8 | MR | Zbl

[14] Efimov A. V., “Priblizhenie funktsii s zadannym modulem nepreryvnosti summami Fure”, Izv. AN SSSR. Ser. matem., 23:1 (1959), 115–134 | MR | Zbl

[15] Podkorytov A. N., “Priblizhenie odnogo klassa funktsii dvukh peremennykh summami Fure”, Vestn. LGU. Mekhan. i matem., 13:3 (1974), 137–148