Geodesic
Some convergence problems of double Fourier–Laguerre–Hermite series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 2, pp. 213-230 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Some convergence problems of double {Fourier{\textendash}Laguerre{\textendash}Hermite} series},
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V. A. Abilov; M. V. Abilov; M. K. Kerimov. Some convergence problems of double Fourier–Laguerre–Hermite series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 2, pp. 213-230. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_2_a2/

[1] Abilov V. A., Kerimov M. K., “Ob otsenkakh ostatochnykh chlenov kratnykh ryadov Fure-Chebysheva i kubaturnykh formul chebyshevskogo tipa”, Zh. vychisl. matem. i matem. fiz., 43:5 (2003), 643–663 | MR | Zbl

[2] Abilov V. A., Abilov M. V., “Priblizhenie funktsii v prostranstve $L_2(\mathbb{R}^N; \exp(-|x|^2))$”, Matem. zametki, 57:1 (1995), 3–19 | MR | Zbl

[3] Abilov V. A., “On the best approximation of functions of many variables by algebraic polynomials”, East J. Approx., 2:4 (1996), 477–497 | MR | Zbl

[4] 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

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

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

[7] Watson G. N., “Another note on Laguerre polynomials”, J. London Math. Soc., 14 (1939), 19–22 | DOI

[8] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1966 | MR

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

[10] Korneichuk N. P., Tochnye konstanty v teorii priblizhenii, Nauka, M., 1987 | MR

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