Geodesic
Analyticity of the solutions of implicit function problems with analytic data
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 4 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{RM_1971_26_4_a7,
     author = {J. Nash},
     title = {Analyticity of the solutions of implicit function problems with analytic data},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     year = {1971},
     volume = {26},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/RM_1971_26_4_a7/}
}
TY  - JOUR
AU  - J. Nash
TI  - Analyticity of the solutions of implicit function problems with analytic data
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1971
VL  - 26
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/RM_1971_26_4_a7/
LA  - ru
ID  - RM_1971_26_4_a7
ER  - 
%0 Journal Article
%A J. Nash
%T Analyticity of the solutions of implicit function problems with analytic data
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1971
%V 26
%N 4
%U http://geodesic.mathdoc.fr/item/RM_1971_26_4_a7/
%G ru
%F RM_1971_26_4_a7
J. Nash. Analyticity of the solutions of implicit function problems with analytic data. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 26 (1971) no. 4. http://geodesic.mathdoc.fr/item/RM_1971_26_4_a7/

[1] H. Cartan, “Varietes analytiques reelles et varietes analytiques complexes”, Bull. Soc. Math. France, 85 (1957), 77–99 | MR | Zbl

[2] J. Moser, “A new technique for the construction of solution of non-linear differential equations”, Proc. Nat. Acad. Sci. USA, 47 (1961), 1824–1831 | DOI | MR | Zbl

[3] J. Nash, “The imbeding problem for Riemannian manifolds”, Ann. of Math., 63 (1956), 20–63, Perevod sm. v nastoyaschem vypuske | DOI | MR | Zbl

[4] J. Schwartz, “On Nash's implicit functional theorem”, Comm. Pure Appl. Math., 13 (1960), 509–530 | DOI | MR | Zbl

[5] J. Schwartz, Non-linear functional analysis, New York University notes, 1963–1964

[6] M. L. Gromov, V. A. Rokhlin, “Vlozheniya i pogruzheniya v rimanovoi geometrii”, UMN, 25:5 (155) (1970), 3–62 | MR | Zbl