Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Berger, M., Les espaces symétriques non compacts, Ann. Sci. Ecole Norm. Sup. 74 (1957), 85–177.
Duflo, M., Representation de carré intégrable des groupes semisimple réels. Sem. Bourbaki, exp. 508, 1977/78.
Flensted-Jensen, M., Spherical functions on a real semi-simple Lie group. A method of reduction to the complex case. Journ. Func. Anal. (1978), to appear.
Harish-Chandra, Spherical functions on a semisimple Lie group, I. Amer. Journ. Math. 80 (1958), 241–310.
Helgason, S., A duality for symmetric spaces with applications to group representations. Adv. Math. 5 (1970), 1–154.
Helgason, S., A duality for symmetric spaces with applications to group representations, II. Differential equations and eigenspace representations. Adv. Math. 22 (1976), 187–219.
Kostant, B., On the existence and irreducibility of certain series of representations, In "Lie groups and their representations" (I.M. Gelfand. Ed.), 231–329, Halsted Press, New York 1975.
Loos, O., Symmetric spaces, I: General theory, New York-Amsterdam, W.A. Benjamin, Inc. 1969.
Matsuki, T., The orbits of affine symmetric spaces under the action of minimal parabolic subgroups. Preprint, Dept. of Math., Hiroshima University.
Vogan, D., Algebraic structure of irreducible representations of semisimple Lie groups. Preprint, Dept. of Math., M.I.T.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Flensted-Jensen, M. (1979). On a fundamental series of representations related to an affine symmetric space. In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063339
Download citation
DOI: https://doi.org/10.1007/BFb0063339
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09516-3
Online ISBN: 978-3-540-35131-3
eBook Packages: Springer Book Archive