Asymptotic Expansions on Symmetric Spaces

van den Ban, Erik; Schlichtkrull, Henrik

doi:10.1007/978-1-4612-0455-8_4

Erik van den Ban⁵ &
Henrik Schlichtkrull⁶

Part of the book series: Progress in Mathematics ((PM,volume 101))

834 Accesses
2 Citations

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 G^σ. Assume that G has finite center; then it is known that G has a σ-stable maximal compact subgroup K.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Hardcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

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.
Google Scholar
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.
MathSciNet MATH Google Scholar
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.
Article MathSciNet MATH Google Scholar
Casselman, W. and D. Miličić, Asymptotic behaviour of matrix coefficients of admissible representations, Duke Math. J. 49 (1982), 869–930.
Article MathSciNet MATH Google Scholar
Flensted-Jensen, M., T. Oshima and H. Schlichtkrull, Boundedness of certain unitarizable Harish-Chandra modules, Adv. Stud, in Pure Math. 14 (1988), 651–660.
MathSciNet Google Scholar
Harish-Chandra, Differential equations and semisimple Lie groups, Collected Papers, vol. 3, Springer-Verlag, 1983, pp. 57–120.
Google Scholar
Schlichtkrull, H., Hyperfunctions and harmonic analysis on symmetric spaces, Birkhäuser, 1984.
Book MATH Google Scholar
Wallach, N., Asymptotic expansions of generalized matrix entries of representations of real reductive groups, Lecture Notes in Math. 1024 (1983), 287–369.
Article MathSciNet Google Scholar
Wallach, N., Real reductive groups, vol. 1, Academic Press, 1988.
Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, University of Utrecht, P.O.Box 80.010, 3508 TA, Utrecht, The Netherlands
Erik van den Ban
Department of Mathematics and Physics, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, 1871, Frederiksberg C, Denmark
Henrik Schlichtkrull

Authors

Erik van den Ban
View author publications
You can also search for this author in PubMed Google Scholar
Henrik Schlichtkrull
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Department of Mathematics, Bowdoin College, Brunswick, ME, 04011, USA
William H. Barker
Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA
Paul J. Sally Jr.

Rights and permissions

Reprints and permissions

Copyright information

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

Publish with us

Policies and ethics