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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Infinite dimensional versions of two theorems of Carl Siegel
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by Buck Ware PDF
Bull. Amer. Math. Soc. 82 (1976), 613-615
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
  • Carl Ludwig Siegel, Iteration of analytic functions, Ann. of Math. (2) 43 (1942), 607–612. MR 7044, DOI 10.2307/1968952
  • 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 57407
  • Shlomo Sternberg, Infinite Lie groups and the formal aspects of dynamical systems, J. Math. Mech. 10 (1961), 451–474. MR 0133400
  • Buck Ware, The Siegel centerstable theorem in Hilbertspace, Berichte der Mathematisch-Statistischen Sektion, Forschungszentrum Graz, No. 37 (1975), Forschungszentrum Graz, Mathematisch-Statistische Sektion, Graz, 1975. MR 0494273
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 82 (1976), 613-615
  • MSC (1970): Primary 34C20, 39A30; Secondary 30A20
  • DOI: https://doi.org/10.1090/S0002-9904-1976-14135-3
  • MathSciNet review: 0516496