Analytic solutions of the Borel problem
Matematičeskie zametki, Tome 67 (2000) no. 4, pp. 525-538.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MZM_2000_67_4_a6,
     author = {Yu. F. Korobeinik},
     title = {Analytic solutions of the {Borel} problem},
     journal = {Matemati\v{c}eskie zametki},
     pages = {525--538},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_4_a6/}
}
TY  - JOUR
AU  - Yu. F. Korobeinik
TI  - Analytic solutions of the Borel problem
JO  - Matematičeskie zametki
PY  - 2000
SP  - 525
EP  - 538
VL  - 67
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2000_67_4_a6/
LA  - ru
ID  - MZM_2000_67_4_a6
ER  - 
%0 Journal Article
%A Yu. F. Korobeinik
%T Analytic solutions of the Borel problem
%J Matematičeskie zametki
%D 2000
%P 525-538
%V 67
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2000_67_4_a6/
%G ru
%F MZM_2000_67_4_a6
Yu. F. Korobeinik. Analytic solutions of the Borel problem. Matematičeskie zametki, Tome 67 (2000) no. 4, pp. 525-538. http://geodesic.mathdoc.fr/item/MZM_2000_67_4_a6/

[1] Borel E., “Sur quelques points de la theorie des fonctions”, Ann. Sci. Ecole Norm., 12 (3) (1895), 9–55 | MR

[2] Mityagin B. S., “O beskonechno differentsiruemoi funktsii s zadannymi znacheniyami proizvodnykh v tochke”, Dokl. AN SSSR, 138:2 (1961), 289–292 | MR | Zbl

[3] Petzsche H.-J., “On E. Borel's theorem”, Math. Ann., 282 (1988), 299–313 | DOI | MR | Zbl

[4] Cooke R. G., Infinite matrices and sequence spaces, London, 1950

[5] Biberbakh L., Analiticheskoe prodolzhenie, M., Nauka; M., GIFML, 1967

[6] Polya G., “Eine Verallegemeinerung des Fabryschen Lückensatzes”, Nachr. Gesellsch. Wissensch. Göttingen, 1927, 187–195

[7] Valiron G., “Sur les solutions des équations différentielles linéares d'ordre infini et à coefficients constants”, Ann. Ec. Norm. Sup., 46 (1929), 25–53 | MR

[8] Korobeinik Yu. F., “O zadache Koshi dlya lineinogo differentsialnogo uravneniya beskonechnogo poryadka”, Litovsk. matem. sb. (Lietuvos Matematikos Rinkiny), 5:3 (1965), 397–420 | MR | Zbl

[9] Narasimkhan R., Analiz na deistvitelnykh kompleksnykh mnogoobraziyakh, Mir, M., 1971 | Zbl

[10] Meise R., Taylor B. A., “Whitney's extension theorem for ultra-differentiable functions of Beurling type”, Ark. Mat., 26 (1988), 265–287 | DOI | MR | Zbl