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Iteration Theory and its Functional Equations pp 107–114Cite as

On a criterion of iteration in rings of formal power series

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1163))

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References

  1. Djoković, D.Z.: A representation theorem for (X1−1)(X2−1)...(Xn−1) and its application; Annales Polonici Math. XXII (1969).

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  2. Mc Kiernan, M.A.: The matrix equation a(x o y) = a(x)+a(x)a(y)+a(y); Aequationes Mathematicae 15 (1977).

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  3. Reich, L.: Über analytische Iteration linearer und kontrahierender biholomorpher Abbildungen; Ber. d. Ges. f. Math. u. Datenverarbeitung, Nr.42 (1971).

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  4. Reich, L., Schwaiger, J.: Linearisierung formal-biholomorpher Abbildungen und Iterationsprobleme; Aequationes Mathematicae 20, p.244 (1980).

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  5. Reich, L., Schwaiger, J.: Über einen Satz von Shl. Sternberg in der Theorie der analytischen Iteration; Monatshefte für Math. 83, p.207 (1977).

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  6. Schwaiger, J.: Normal Forms for Systems of Formal Power Series Commuting in Pairs and Iteration Problems; In this volume.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Graz, Brandhofgasse 18, A-8010, Graz, Austria

    Günther H. Mehring

Authors
  1. Günther H. Mehring
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Roman Liedl Ludwig Reich György Targonski

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© 1985 Springer-Verlag

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Mehring, G.H. (1985). On a criterion of iteration in rings of formal power series. In: Liedl, R., Reich, L., Targonski, G. (eds) Iteration Theory and its Functional Equations. Lecture Notes in Mathematics, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076423

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  • DOI: https://doi.org/10.1007/BFb0076423

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16067-0

  • Online ISBN: 978-3-540-39749-6

  • eBook Packages: Springer Book Archive

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