Hiroshima Mathematical Journal

Eigenfunctions of the Laplacian on a hermitian hyperbolic space

Katsuhiro Minemura

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 4, Number 2 (1974), 441-457.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206137075

Digital Object Identifier
doi:10.32917/hmj/1206137075

Mathematical Reviews number (MathSciNet)
MR0425520

Zentralblatt MATH identifier
0293.53024

Subjects
Primary: 43A85: Analysis on homogeneous spaces

Citation

Minemura, Katsuhiro. Eigenfunctions of the Laplacian on a hermitian hyperbolic space. Hiroshima Math. J. 4 (1974), no. 2, 441--457. doi:10.32917/hmj/1206137075. https://projecteuclid.org/euclid.hmj/1206137075


Export citation

References

  • [1] M. Hashizume, K. Minemura and K. Okamoto, Harmonic functions on hermitian hyperbolicspaces, Hiroshima Math. J., 3 (1973), 81-108.
  • [2] S. Helgason, A dualityfor symmetric spaces with applications to group representations, Advances in Math., 5 (1970), 1-154.
  • [3] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
  • [4] B. Kostant and S. Rallis, Orbits and representations associated with symmetric spaces, Amer. J. Math., 93 (1971), 753-809.
  • [5] N. N. Lebedev, Special Functions and Their Applications, Prentice-Hall, London, 1965.
  • [6] A. Martineau, Les hyperfonctions de M. Sato, Seminaire Bourbaki,13 (1960/61), No. 214.
  • [7] K. Minemura, Eigenfunctionsof the laplacianon a real hyperbolic space, to appear in J. Math. Soc. Japan.
  • [8] K. Minemura, Harmonic functionson real hyperbolic spaces, Hiroshima Math. J., 3 (1973), 121-151.
  • [9] K. Okamoto, Harmonic analysis on homogeneous vectorbundles, Lecture notes in Math., Springer-Verlag, 266 (1972), 387-436.
  • [10] M. Sato, Theory of hyperfunctions II, J. Fac. Sci. Univ. Tokyo, 8 (1959), 387-436.
  • [11] M. Sugiura, Conjugate classes ofCartan subalgebras in real semi-simple Lie algebras, J. Math. Soc. Japan, 11 (1959), 374-434.