Abstract
An "automatic continuity" question has naturally occurred since Roger Howe established the local theta correspondence over R: Does the algebraic version of local theta correspondence over R agree with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor.
| Original language | English |
|---|---|
| Pages (from-to) | 458-466 |
| Number of pages | 9 |
| Journal | Representation Theory |
| Volume | 21 |
| Issue number | 16 |
| DOIs | |
| State | Published - 2017 |
| Externally published | Yes |
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