Harmonic analysis in the non-Euclidean disk

  • Sigurdur Helgason
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 266)


Symmetric Space Topological Vector Space Riemannian Structure Grassmann Manifold Positive Eigenfunctions 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    H. Furstenberg, Translation-invariant cones of functions on semisimple Lie groups, Bull. Amer. Math. Soc. 71 (1965), 271–326.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    R. Godement, Séminaire Bourbaki, 1957.Google Scholar
  3. [3]
    S. Helgason, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassman manifolds, Acta Math. 113 (1965), 153–180.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    S. Helgason, Radon-Fourier transforms on symmetric spaces and related group representations, Bull. Amer. Math. Soc. 71 (1965), 757–763.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    S. Helgason, Lie groups and symmetric spaces, Battelle Rencontres 1967, 1–71, W. A. Benjamin, Inc. N.Y. 1968.Google Scholar
  6. [6]
    S. Helgason, A duality for symmetric spaces with applications to group representations, Advances in Mathematics, 5 (1970), 1–154.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    F. I. Karpelevič, Non-negative eigenfunctions of the Beltrami-Laplace operator on symmetric spaces of non-positive curvature, Soviet Math. 4 (1963), 1180–1182.Google Scholar
  8. [8]
    G. Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13–33.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier Grenoble, 6 (1955–56), 271–355.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Sigurdur Helgason
    • 1
  1. 1.Massachusetts Institute of TechnologyUSA

Personalised recommendations