Conservation relations for local theta correspondence
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- by Binyong Sun and Chen-Bo Zhu
- J. Amer. Math. Soc. 28 (2015), 939-983
- DOI: https://doi.org/10.1090/S0894-0347-2014-00817-1
- Published electronically: July 2, 2014
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Abstract:
We prove Kudla-Rallis conjecture on first occurrences of local theta correspondence, for all irreducible dual pairs of type I and all local fields of characteristic zero.References
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Bibliographic Information
- Binyong Sun
- Affiliation: Hua Loo-Keng Key Laboratory of Mathematics, Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100190, P.R. China
- MR Author ID: 805605
- Email: sun@math.ac.cn
- Chen-Bo Zhu
- Affiliation: Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076
- MR Author ID: 305157
- ORCID: 0000-0003-3819-1458
- Email: matzhucb@nus.edu.sg
- Received by editor(s): September 26, 2012
- Received by editor(s) in revised form: January 28, 2014, and May 29, 2014
- Published electronically: July 2, 2014
- © Copyright 2014 American Mathematical Society
- Journal: J. Amer. Math. Soc. 28 (2015), 939-983
- MSC (2010): Primary 22E46, 22E50
- DOI: https://doi.org/10.1090/S0894-0347-2014-00817-1
- MathSciNet review: 3369906
Dedicated: In memory of Stephen Rallis