Skip to main content
SpringerLink
Log in

On an explicit formula for Whittaker-Shintani functions on Sp2

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. N. Bourbaki, Groupes et algèbre de Lie, Diffusion C.C.L.S., Paris.

  2. D. Bump, The Rankin-Selberg Method: A Survey, In Number Theory, Trace Formulas and Discrete Groups, Symposium in Honor of Alte Selberg, Academic Press 1989.

  3. D. Bump, S. Friedberg andJ. Hoffstein,p-adic Whittaker functions on the Metaplectic Group, preprint.

  4. W. Casselmann andJ. Shalika, The Unramified Principal Series ofp-adic Groups II: The Whittaker Function, Compositio Math.41 (1980), 207–231.

    MathSciNet  Google Scholar 

  5. S. Kato, On an Explicit Formula for Class-1 Whittaker Functions on Split Reductive Groups onp-adic Fields, preprint 1978.

  6. A. Murase,L-functions Attached to Jacobi Forms of Degreen, Part I: The Basic Identity, J. reine und ang. Math.401 (1989), 122–156.

    MATH  MathSciNet  Google Scholar 

  7. A. Murase andT. Sugano, Whittaker-Shintani Functions on the Symplectic Group of Fourier-Jacobi Type, to appear in Compositio Math.

  8. I. Satake, Theory of Spherical Functions on Reductive Algebraic Groups Overp-adic Fields, I.H.E.S. Publ. Math.18 (1963), 5–69.

    MathSciNet  Google Scholar 

  9. T. Shintani, On an Explicit Formula for Class-1 ‘Whittaker Functions’ on GL n Overp-adic Fields, Proc. Japan Acad.52 (1976), 180–182.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, W-5300, Bonn 3, Bundesrepublik Deutschland

    A. Murase

  2. Department of Mathematics, Kyoto Sangyo University, Motoyama, Kamigamo, 603, Kyoto, Japan

    A. Murase

Authors
  1. A. Murase
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Murase, A. On an explicit formula for Whittaker-Shintani functions on Sp2 . Abh.Math.Semin.Univ.Hambg. 61, 153–162 (1991). https://doi.org/10.1007/BF02950759

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02950759

Keywords

Search

Navigation