Geodesic
Optimal reconstruction of a harmonic function from the Fourier coefficients
Vladikavkazskij matematičeskij žurnal, Tome 6 (2004) no. 4, pp. 10-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{VMJ_2004_6_4_a2,
     author = {S. V. Bliznyuk},
     title = {Optimal reconstruction of a harmonic function from the {Fourier} coefficients},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {10--16},
     year = {2004},
     volume = {6},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2004_6_4_a2/}
}
TY  - JOUR
AU  - S. V. Bliznyuk
TI  - Optimal reconstruction of a harmonic function from the Fourier coefficients
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2004
SP  - 10
EP  - 16
VL  - 6
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2004_6_4_a2/
LA  - ru
ID  - VMJ_2004_6_4_a2
ER  - 
%0 Journal Article
%A S. V. Bliznyuk
%T Optimal reconstruction of a harmonic function from the Fourier coefficients
%J Vladikavkazskij matematičeskij žurnal
%D 2004
%P 10-16
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2004_6_4_a2/
%G ru
%F VMJ_2004_6_4_a2
S. V. Bliznyuk. Optimal reconstruction of a harmonic function from the Fourier coefficients. Vladikavkazskij matematičeskij žurnal, Tome 6 (2004) no. 4, pp. 10-16. http://geodesic.mathdoc.fr/item/VMJ_2004_6_4_a2/

[1] Magaril-Ilyaev G. G., Tikhomirov V. M., Vypuklyi analiz i ego prilozheniya, URSS, M., 2003, 175 pp.

[2] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, v. 1, Fizmatlit, M., 2001, 680 pp.

[3] Korneichuk N. P., Ekstremalnye zadachi teorii priblizheniya, Nauka, M., 1976, 320 pp. | MR

[4] Magaril-Il'yaev G. G., Osipenko K. Yu., Tikhomirov V. M., “Optimal recovery and extremum theory”, Computational Methods and Function Theory, 2002, no. 2, 87–112 | MR

[5] Krein M. G., “K teorii nailuchshikh priblizhenii periodicheskikh funktsii”, Dokl. AN SSSR, 18:4/5 (1938), 245–251