I. The work of Steven M. Paneitz

  • H. D. Doebner
  • J. D. Hennig
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1139)


Poincare Group Universal Covering Group Global Hyperbolicity Homogeneous Vector Bundle Young Mathematician 
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Publications of Stephen M. Paneitz

  1. 1.
    Unitarization of symplectics and stability for causal differential equations in Hilbert space. J. Funct. Anal. 41 (1981), 315–326.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Invariant convex cones and causality in semisimple Lie algebras and groups. J. Func. Anal. 43 (1981), 313–359.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Quantization of wave equations and hermitian structures in partial differential varieties. Proc. Natl. Acad. Sci. USA 77 (1980), 6943–6947. (With I.E. Segal.)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Essential unitarization of symplectics and applications to field quantization. J. Func. Anal. 48 (1982), 310–359.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Covariant chronogeometry and extreme distances: Elementary particles. Proc. Natl. Acad. Sci. 78 (1981). (With I.E. Segal, H.P. Jakobsen, B. Ørsted, and B. Speh.)Google Scholar
  6. 6.
    Analysis in space-time bundles. I. General considerations and the scalar bundle. J. Func. Anal. 47 (1982), 78–142. (With I.E. Segal.)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Analysis in space-time bundles, II. The spinor and form bundles. J. Func. Anal. 49 (1982), 335–414.MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Self-adjointness of the Fourier expansion of quantized interaction field Lagrangians. Proc. Natl. Acad. Sci. USA 80 (1983), 4595–4598. (With I.E. Segal.)MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    The Yang-Mills equations on the universal cosmos. J. Func. Anal. 53 (1983), 112–150. (With Y. Choquet-Bruhat and I.E. Segal.)MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Determination of a polarization by nonlinear scattering, and examples of the resulting quantization. Lec. Notes in Math. No. 1037, Ed. S.I. Andersson and H.D. Doebner (Proceedings, Clausthal, 1981), Springer-Verlag, Berlin, 1983.Google Scholar
  11. 11.
    Determination of invariant convex cones in simple Lie algebras. Arkiv f. mat. 21 (1983), 217–228.MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    All linear representations of the Poincaré group up to dimension 8. Ann. Inst. H. Poincaré (Phys. Theor.) 40 (1984), 35–57.MathSciNetzbMATHGoogle Scholar
  13. 13.
    Parametrization of causal actions of universal covering groups and global hyperbolicity. J. Func. Anal., in press.Google Scholar
  14. 14.
    Analysis in space-time bundles. III. Higher spin bundles. J. Func. Anal. 54 (1983), 18–112.MathSciNetCrossRefzbMATHGoogle Scholar
  15. 15.
    Global solutions of the hyperbolic Yang-Mills equations and their sharp asymptotics. Proceedings of the Amer. Math. Soc. Summer Institute on Nonlinear Functional Analysis and Applications (Berkeley, 1983), in press.Google Scholar
  16. 16.
    Indecomposable finite dimensional representations of the Poincaré group and associated fields. These proceedings (Clausthal, 1983).Google Scholar
  17. 17.
    Indecomposable representations of the Poincaré group and associated fields. Proc. XII. International Coll. Group Theoretical Methods in Physics, Trieste, 1983 (Posth. presentation), Lecture Notes in Physics, Vol. 201 (1984), 84–87.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • H. D. Doebner
  • J. D. Hennig

There are no affiliations available

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