Please use this identifier to cite or link to this item: https://doi.org/10.1006/jfan.2001.3786
Title: Tensor product of degenerate principal series and local theta correspondence
Authors: Li, J.-S.
Tan, E.-C. 
Zhu, C.-B. 
Keywords: Complementary series
Degenerate principal series
Local theta correspondence
Reductive dual pair
Zeta integral
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

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

5
checked on Dec 4, 2018

WEB OF SCIENCETM
Citations

6
checked on Nov 26, 2018

Page view(s)

35
checked on Nov 23, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.