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|Title:||Tensor product of degenerate principal series and local theta correspondence||Authors:||Li, J.-S.
Degenerate principal series
Local theta correspondence
Reductive dual pair
|Issue Date:||10-Nov-2001||Citation:||Li, J.-S., Tan, E.-C., Zhu, C.-B. (2001-11-10). Tensor product of degenerate principal series and local theta correspondence. Journal of Functional Analysis 186 (2) : 381-431. ScholarBank@NUS Repository. https://doi.org/10.1006/jfan.2001.3786||Abstract:||We construct an intertwining map from the oscillator representation to the tensor product of two degenerate principal series of G and G1 which form a reductive dual pair in the sense of Howe. We derive results on local theta correspondence for the dual pairs (O(p, q), Sp(2q, ℝ)). (U(p, q), U(q, q)) and (Sp(p, q), O*(4q)). where p ≥ q. We also describe the correspondence completely for the pairs (O(p, q), SL(2, ℝ)), (U(p, q) U(1,1)), and (Sp(p, q), O*(4)). © 2001 Academic Press.||Source Title:||Journal of Functional Analysis||URI:||http://scholarbank.nus.edu.sg/handle/10635/104245||ISSN:||00221236||DOI:||10.1006/jfan.2001.3786|
|Appears in Collections:||Staff Publications|
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