## The Bernstein center in terms of invariant locally integrable functions

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- by Allen Moy and Marko Tadić PDF
- Represent. Theory
**6**(2002), 313-329 Request permission

## Abstract:

We give a description of the Bernstein center of a reductive $p$-adic group $G$ in terms of invariant locally integrable functions and compute a basis of these functions for the group $SL(2)$.## References

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## Additional Information

**Allen Moy**- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109; Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, SAR
- MR Author ID: 127665
- Email: moy@math.lsa.umich.edu, amoy@math.ust.hk
**Marko Tadić**- Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
- ORCID: 0000-0002-6087-3765
- Email: tadic@math.hr
- Received by editor(s): February 7, 2002
- Received by editor(s) in revised form: August 27, 2002
- Published electronically: November 19, 2002
- Additional Notes: The first and second authors acknowledge partial support from the National Science Foundation grants DMS-9801264 and DMS-0100413

The second author acknowledges partial support from the Croatian Ministry of Science and Technology grant #37001 - © Copyright 2002 American Mathematical Society
- Journal: Represent. Theory
**6**(2002), 313-329 - MSC (2000): Primary 22E50, 22E35
- DOI: https://doi.org/10.1090/S1088-4165-02-00181-4
- MathSciNet review: 1979109