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Huyghens’ principle in (2n+1) dimensions for nonlocal pseudodifferential operators of the type □α

  • Note Brevi
  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The validity of the Huyghens principle for half-integer powers of the D’Alembertian in odd number of dimensions is discussed. It is shown in particular that for □1/2 in 2+1 the dynamic of □ in 3+1 is obtained.

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References

  1. B. B. Baker andE. T. Copson:The Mathematical Theory of Huyggens’ Principle (Clarendon Press, Oxford, 1939).

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  4. E. C. Marino: Nota Científica, preprint 16/90 Pontifícia Universidade Católica do Rio de Janeiro.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas, CBPF/CNQq, Rua Dr. Xavier Sigaud, 150, 22290, Rio de Janeiro, RJ, Brasil

    J. J. Giambiagi

  2. Centro Latino Americano de Física, CLAF, Av Wenceslau Braz, 71 (fundos), 22290, Rio de Janeiro, RJ, Brasil

    J. J. Giambiagi

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  1. J. J. Giambiagi
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Giambiagi, J.J. Huyghens’ principle in (2n+1) dimensions for nonlocal pseudodifferential operators of the type □α . Nuov Cim A 104, 1841–1844 (1991). https://doi.org/10.1007/BF02812498

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  • DOI: https://doi.org/10.1007/BF02812498

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