Skip to main content
Log in

Über unendliche kontinuierliche Gruppen

I. Grundlagen der Theorie; Untergruppen

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. G. Birkhoff: Analytical groups. Trans. Amer. Math. Soc.43, 61–101 (1938).

    Google Scholar 

  2. E. Cartan: Sur la structure des groupes infinis des transformations. Ann. Sci. Ecol. norm. sup.21, 153–206 (1904);22, 219–308 (1905).

    Google Scholar 

  3. M. Fréchet: La notion de différentielle dans l'analyse générale. Ann. Sci. Ecol. norm. sup.42, 293–323 (1925).

    Google Scholar 

  4. L. M. Graves: Riemann integration and Taylor's theorem in general analysis. Trans. Amer. Math. Soc.29, 163–177 (1927).

    Google Scholar 

  5. T. H. Hildebrandt u.L. M. Graves: Implicit functions in general analysis. Trans. Amer. Math. Soc.29, 127–153 (1927).

    Google Scholar 

  6. E. Hille: Functional analysis and semi-groups. New York 1948.

  7. M. Kerner: Gewöhnliche Differentialgleichungen der allgemeinen Analysis. Prace mat.-fiz.40, 47–67 (1932).

    Google Scholar 

  8. D. Laugwitz: Differentialgeometrie ohne Dimensionsaxiom. I. Tensoren auf lokal-linearen Räumen. Math. Z.61, 100–118 (1954).

    Google Scholar 

  9. D. Laugwitz: Grundlagen für die Geometrie der unendlichdimensionalen Finslerräume. Ann. Mat. pura appl.,41 (1955)

  10. S. Lie: Theorie der unendlichen Gruppen. Ber. Verh. sächs. Akad. Wiss. Leipzig. Math.-nat. Kl.43, 316–393 (1891).

    Google Scholar 

  11. S. Lie: Über Differentialinvarianten. Math. Ann.24, 537–578 (1884).

    Google Scholar 

  12. A. D. Michal: Differentiable infinite continuous groups in abstract spaces. Revista Ci. Lima50, 131–140 (1948).

    Google Scholar 

  13. A. D. Michal u.V. Elconin: Differential properties of abstract transformation groups with abstract parameters. Amer. J. Math.29, 129–143 (1937).

    Google Scholar 

  14. R. Nevanlinna: Bemerkung zur Funktionalanalysis. Math. Scand.1, 104–112 (1953).

    Google Scholar 

  15. J. v. Neumann: Über die analytischen Eigenschaften von Gruppen linearer Transformationen. Math. Z.30, 1–42 (1929).

    Google Scholar 

  16. L. Pontrjagin: Topological groups. Princeton 1946.

  17. J. F. Ritt: Differentiable groups and formalLie theory for an infinite number of parameters. Ann. of Math. (2)52, 708–726 (1950).

    Google Scholar 

  18. J. A. Schouten: Ricci calculus, 2nd ed. Berlin etc. 1954.

  19. K. Yosida: On the group embedded in the metrical complete ring. Japanese J. Math.13, 7–26 u. 459–472 (1936).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Laugwitz, D. Über unendliche kontinuierliche Gruppen. Math. Ann. 130, 337–350 (1955). https://doi.org/10.1007/BF01343900

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01343900

Navigation