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Harmonic analysis on groups of Heisenberg type

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 992))

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References

  1. Cygan, J., "Subadditivity of homogeneous norms on certain nilpotent Life groups", Proc. AMS 83 (1981), 69–70.

    Article  MathSciNet  MATH  Google Scholar 

  2. Husemoller, D., "Fibre Bundles", Springer-Verlag (1966).

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  3. Kaplan, A., "Fundamental solutions for a class of hypoelliptic PDE", Trans. AMS 258 (1980), 147–153.

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  4. Kaplan, A., "On the geometry of groups of Heisenberg type", to appear in Bull. London Math. Soc.

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  5. Koranyi, A., "Some applications of Gelfand pairs in classical analysis" Harmonic Analysis and Group Representations, C.I.M.E. (1980).

    Google Scholar 

  6. Koranyi, A., "Geometric properties of Heisenberg type groups" to appear in Advances in Math.

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  7. Metivier, G., "Hypoellipticité analytique dur des groupes nilpotents de rang 2", Duke Math. J., 47 (1980), 195–221.

    Article  MathSciNet  MATH  Google Scholar 

  8. Riehm, C., "The automorphism group of a composition of quadratic forms", to appear in Trans. AMS.

    Google Scholar 

  9. Seaman, W., "Hypersurfaces of constant mean curvature in euclidean spaces and groups of Heisenberg type", thesis, University of Massachusetts, Amherst (1981).

    Google Scholar 

  10. Tricerri, F. and Vanhecke, L., "Homogeneous structures", to appear in the Proceedings of the Special Year on Differential Geometry, College Park, Maryland (1982).

    Google Scholar 

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Giancarlo Mauceri Fulvio Ricci Guido Weiss

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© 1983 Springer-Verlag

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Kaplan, A., Ricci, F. (1983). Harmonic analysis on groups of Heisenberg type. In: Mauceri, G., Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069172

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  • DOI: https://doi.org/10.1007/BFb0069172

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12299-9

  • Online ISBN: 978-3-540-39885-1

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