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Spherical functions of the Lorentz group on the two dimensional complex sphere of zero radius

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Abstract

Spherical functions of the Lorentz group with respect to the horyspheric subgroup are derived and their relation to Gelfand's homogeneous functions are discussed.

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References

  1. Joos, H., Schrader, R.: DESY preprint 68/40, 1968.

  2. Huszár, M., Smorodinsky, Y.: Preprint of the JINR E 2-4225, 1968; Theor. and Math. Phys. (Moscow)4, 328, (1970).

  3. — — Preprint of the JINR E 2-5020, 1970.

  4. Joos, H.: Fortschr. d. Phys.10, 65, (1962).

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  5. Naimark, M.A.: Linear representation of the Lorentz group. New York: Pergamon 1964.

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  6. Gel'fand, I.M., Gaev, M.I., Vilenkin, N.Ya.: Generalized functions, Vol. V. New York: Academic Press 1966.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research Moscow, USSR

    M. Huszár

  2. Central Research Institute for Physics, P. O. Box 49, Budapest 114, Hungary

    M. Huszár

Authors
  1. M. Huszár
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On leave of absence from the Central Research Institute for Physics, Budapest, Hungary.

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Huszár, M. Spherical functions of the Lorentz group on the two dimensional complex sphere of zero radius. Commun.Math. Phys. 23, 132–136 (1971). https://doi.org/10.1007/BF01877755

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  • DOI: https://doi.org/10.1007/BF01877755

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