L(2)-VERSIONS OF THE HOWE CORRESPONDENCE .2.

Authors
ORSTED B ZHANG G
Citation
B. Orsted et G. Zhang, L(2)-VERSIONS OF THE HOWE CORRESPONDENCE .2., Journal de mathematiques pures et appliquees, 74(2), 1995, pp. 165-183
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Journal de mathematiques pures et appliquees → ACNP
ISSN journal
00217824
Volume
74
Issue
2
Year of publication
1995
Pages
165 - 183
Database
ISI
SICI code
0021-7824(1995)74:2<165:LOTHC.>2.0.ZU;2-W
Abstract
We present the explicit decomposition of the space of L(2)-sections of vector bundles over the projective complex and quaternion hyperboloid s. Using this we further calculate the L(2) decompostions of the metap lectic representations for the dual pairs SL (2, R) x O (p, q), U (1, 1) x U (p: q) and O (4) x Sp (p, q) by extending the idea of plurihar monic functions due to M. Kashiwara and M. Vergne.