Plancherel formulae for non-symmetric polar homogeneous spaces.
Jing-Song Huang
Source: Pacific J. Math. Volume 176, Number 2 (1996), 345-356.
Primary Subjects: 22E30
Secondary Subjects: 43A85
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102104967
Zentralblatt MATH identifier:
0882.43013
Mathematical Reviews number (MathSciNet):
MR1434995
References
[D] J. Dadok, Polar coordinate induced by actions of compact Lie groups, Trans. Amer. Math. Soc,288(1) (1985), 125-137.
Mathematical Reviews (MathSciNet):
MR86k:22019
Zentralblatt MATH:
0565.22010
[FJ] M. Flensted-Jensen, Discrete series for semisimple symmetric spaces, Annal of Math., I l l (1980), 253-311.
Mathematical Reviews (MathSciNet):
MR81h:22015
Zentralblatt MATH:
0462.22006
[HC] Harish-Chandra, Discrete series for semisimple Lie groups,I, II, Acta Math., 113 (1965), 241-318; 116 (1966), 1-111.
Zentralblatt MATH:
0152.13402
[HPTT] E. Heintze, R. Palais, C.-L. Terng and G. Thorbergsson, Hyperpolar actions and k-flat homogeneousspaces, J. reine angew. Math., 454 (1994), 163-179.
Mathematical Reviews (MathSciNet):
MR96b:53062
Zentralblatt MATH:
0804.53074
[H] J.S. Huang, Harmonic analysis on compactpolar homogeneousspaces, to appear in Pacific Journal of Mathematics.
Mathematical Reviews (MathSciNet):
MR98f:43014
Zentralblatt MATH:
0878.22005
[K] T. Kobayashi, Discrete decomposition of the restriction of Aq() with respect to reductivesubgroupsand its applications, Invent. Math., 117 (1994), 181-205.
Mathematical Reviews (MathSciNet):
MR95b:22027
[OM] T. Oshima and T. Matsuki, A description of discreteseries for semisimplesymmet- ric spaces, Group Representations and Systems of Differential Equations, Advanced Studies in Pure Mathematics, 4 (1984), 331-390.
Mathematical Reviews (MathSciNet):
MR87m:22042
Zentralblatt MATH:
0577.22012
[OS] T. Oshima and S. Sekiguchi, Eigenspacesof Invariant Differential Operatorson an Ajfine Symmetric Space,Inv. Math., 57 (1980), 1-81.
Mathematical Reviews (MathSciNet):
MR81k:43014
Zentralblatt MATH:
0434.58020
[PT] R. Palais and C.-L. Terng, A general theory of canonicalforms, Trans, of Amer. Math. Soc, 300 (1987), 771-789.
Mathematical Reviews (MathSciNet):
MR88f:57069
Zentralblatt MATH:
0652.57023
[R] W. Rossmann, Analysis on realhyperbolic spaces,J. Funct. Anal., 30 (1978), 448- 477.
Mathematical Reviews (MathSciNet):
MR80f:43021
Zentralblatt MATH:
0467.43006
[W] N. Wallach, Real Reductive Groups, Volume I, II, Academic Press 1988, 1992.
Zentralblatt MATH:
0666.22002
Pacific Journal of Mathematics
