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Infinite dimensional versions of two theorems of Carl Siegel
Author(s):
Buck
Ware
Journal:
Bull. Amer. Math. Soc.
82
(1976),
613-615.
MSC (1970):
Primary 34C20, 39A30;
Secondary 30A20
MathSciNet review:
0516496
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References |
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Additional information
References:
- 1.
- Stephen P. Diliberto, A new technique for proving the existence of analytic functions, Ordinary Differential Equations: 1971 NRL—MRC Conference (edited by Leonard Weiss), Academic Press, New York, 1972, pp. 71-81. MR 50 #5065.
- 2.
- Jules Farkas, Sur les functions itératives, J. Math. Pures Appl. (3) 10 (1884), 101-108.
- 3.
- Gabriel P. X. Koenigs, Recherches sur les intégrales des certaines équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 1 (1884), Supplement 3-41.
- 4.
- F.W.K. Ernst Schröder, Über iterierte Funktionen, Math. Ann. 3 (1971), 296-322
- 5.
- Carl L. Siegel, Iteration of analytic functions, Ann. of Math. (2) 43 (1942), 607-612. MR 4, 76. MR 7044
- 6.
- Carl L. Siegel, Über die Normalform analytischer Differentialgleichungen in der Nahe einer Gleichgewichtslösung, Nachr. Akad. Wiss. Göttingen. Math. -Phys. Kl. Math. -Phys.-Chem. Abt. 1952, 21-30. MR 15, 222. MR 57407
- 7.
- Shlomo Sternberg, Infinite Lie groups and the formal aspects of dynamical systems, J. Math. Mech. 10 (1961), 451-474. MR 24 #A3234. MR 133400
- 8.
- Buck Ware, The Siegel centerstable theorem in Hilbert space, Bericht no. 37, Mathematischstatistischen Sektion im Forschungszentrum, Graz., 1975 MR 494273
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14135-3
PII:
S 0002-9904(1976)14135-3
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