Abstract
We prove the local multiplicity at most one theorem underlying the definition and theory of local -, ∊- and L-factors, defined by virtue of the generalized doubling method, over any local field of characteristic 0. We also present two applications: one to the existence of local factors for genuine representations of covering groups, the other to the global unfolding argument of the doubling integral.
| Original language | English |
|---|---|
| Pages (from-to) | 3007-3092 |
| Number of pages | 86 |
| Journal | Journal of the European Mathematical Society |
| Volume | 25 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2022 European Mathematical Society.
Funding
Funding. This research was supported by the ERC, StG grant number 637912 (Gourevitch), and by the ISRAEL SCIENCE FOUNDATION, grant numbers 249/17 (Aizenbud and Gourevitch) and 421/17 (Kaplan).
| Funders | Funder number |
|---|---|
| European Commission | 637912 |
| Israel Science Foundation | 421/17, 249/17 |
Keywords
- Doubling method
- Schwartz functions
- covering groups
- invariant distributions
- multiplicity one