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I. The work of Steven M. Paneitz

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1139)

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  • Poincare Group
  • Universal Covering Group
  • Global Hyperbolicity
  • Homogeneous Vector Bundle
  • Young Mathematician

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Publications of Stephen M. Paneitz

  1. Unitarization of symplectics and stability for causal differential equations in Hilbert space. J. Funct. Anal. 41 (1981), 315–326.

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  2. Invariant convex cones and causality in semisimple Lie algebras and groups. J. Func. Anal. 43 (1981), 313–359.

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  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.)

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  4. Essential unitarization of symplectics and applications to field quantization. J. Func. Anal. 48 (1982), 310–359.

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  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.)

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  6. Analysis in space-time bundles. I. General considerations and the scalar bundle. J. Func. Anal. 47 (1982), 78–142. (With I.E. Segal.)

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  7. Analysis in space-time bundles, II. The spinor and form bundles. J. Func. Anal. 49 (1982), 335–414.

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  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.)

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  9. The Yang-Mills equations on the universal cosmos. J. Func. Anal. 53 (1983), 112–150. (With Y. Choquet-Bruhat and I.E. Segal.)

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  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.

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  11. Determination of invariant convex cones in simple Lie algebras. Arkiv f. mat. 21 (1983), 217–228.

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  12. All linear representations of the Poincaré group up to dimension 8. Ann. Inst. H. Poincaré (Phys. Theor.) 40 (1984), 35–57.

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  13. Parametrization of causal actions of universal covering groups and global hyperbolicity. J. Func. Anal., in press.

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  14. Analysis in space-time bundles. III. Higher spin bundles. J. Func. Anal. 54 (1983), 18–112.

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  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.

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  16. Indecomposable finite dimensional representations of the Poincaré group and associated fields. These proceedings (Clausthal, 1983).

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  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.

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© 1985 Springer-Verlag

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Doebner, H.D., Hennig, J.D. (1985). I. The work of Steven M. Paneitz. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074573

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  • DOI: https://doi.org/10.1007/BFb0074573

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  • Print ISBN: 978-3-540-15666-6

  • Online ISBN: 978-3-540-39585-0

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