Abstract
Let G/H be a semisimple symmetric space, where G is a connected semisimple real Lie group with an involution σ, and H is an open subgroup of the fix point group Gσ. Assume that G has finite center; then it is known that G has a σ-stable maximal compact subgroup K.
Keywords
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.
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
Ban E.P. van den Asymptotic behaviour of matrix coefficients related to reductive symmetric spaces, Proc. Kon. Nederl. Akad. Wet. 90 (1987), 225–249.
Ban E.P. van den and H. Schlichtkrull, Asymptotic expansions and boundary values of eigenfunctions on Riemannian symmetric spaces, J. reine angew. Math. 380 (1987), 108–165.
Ban E.P. van den and H. Schlichtkrull , Local boundary data of eigenf unctions on a Riemannian symmetric space, Invent. math. 98 (1989), 639–657.
Casselman, W. and D. Miličić, Asymptotic behaviour of matrix coefficients of admissible representations, Duke Math. J. 49 (1982), 869–930.
Flensted-Jensen, M., T. Oshima and H. Schlichtkrull, Boundedness of certain unitarizable Harish-Chandra modules, Adv. Stud, in Pure Math. 14 (1988), 651–660.
Harish-Chandra, Differential equations and semisimple Lie groups, Collected Papers, vol. 3, Springer-Verlag, 1983, pp. 57–120.
Schlichtkrull, H., Hyperfunctions and harmonic analysis on symmetric spaces, Birkhäuser, 1984.
Wallach, N., Asymptotic expansions of generalized matrix entries of representations of real reductive groups, Lecture Notes in Math. 1024 (1983), 287–369.
Wallach, N., Real reductive groups, vol. 1, Academic Press, 1988.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
van den Ban, E., Schlichtkrull, H. (1991). Asymptotic Expansions on Symmetric Spaces. In: Barker, W.H., Sally, P.J. (eds) Harmonic Analysis on Reductive Groups. Progress in Mathematics, vol 101. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0455-8_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0455-8_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6768-3
Online ISBN: 978-1-4612-0455-8
eBook Packages: Springer Book Archive