Israel Journal of Mathematics

, Volume 34, Issue 1, pp 21–37

Uniqueness and existence of Whittaker models for the metaplictic group

  • Stephen Gelbart
  • Roger Howe
  • Ilya Piatetski-Shapiro
Article

DOI: 10.1007/BF02761822

Cite this article as:
Gelbart, S., Howe, R. & Piatetski-Shapiro, I. Israel J. Math. (1979) 34: 21. doi:10.1007/BF02761822

Abstract

We introduce the notion of Whittaker models for representations of a metaplectic covering group of GL (2) and establish the uniqueness and existence of such models. Our results generalize corresponding results of Jacquet-Langlands, but the methods are new.

Copyright information

© The Weizmann Science Press of Israel 1979

Authors and Affiliations

  • Stephen Gelbart
    • 1
    • 2
    • 3
  • Roger Howe
    • 1
    • 2
    • 3
  • Ilya Piatetski-Shapiro
    • 1
    • 2
    • 3
  1. 1.Department of MathematicsCornell UniversityIthacaUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA
  3. 3.Tel Aviv UniversityTel AvivIsrael