Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Infinite dimensional versions of two theorems of Carl Siegel


Author: Buck Ware
Journal: Bull. Amer. Math. Soc. 82 (1976), 613-615
MSC (1970): Primary 34C20, 39A30; Secondary 30A20
MathSciNet review: 0516496
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 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 Ludwig Siegel, Iteration of analytic functions, Ann. of Math. (2) 43 (1942), 607–612. MR 0007044 (4,76c)
  • 6. Carl Ludwig Siegel, Über die Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgewichtslösung, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt. 1952 (1952), 21–30 (German). MR 0057407 (15,222b)
  • 7. Shlomo Sternberg, Infinite Lie groups and the formal aspects of dynamical systems, J. Math. Mech. 10 (1961), 451–474. MR 0133400 (24 #A3234)
  • 8. Buck Ware, The Siegel centerstable theorem in Hilbertspace, Mathematisch-statistische Sektion, Forschungszentrum Graz, Graz, 1975. Berichte der Mathematisch-statistischen Sektion, Forschungszentrum Graz, No. 37 (1975). MR 0494273 (58 #13179)

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 34C20, 39A30, 30A20

Retrieve articles in all journals with MSC (1970): 34C20, 39A30, 30A20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1976-14135-3
PII: S 0002-9904(1976)14135-3