Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains
Författare och institution:
K. Koufany (-); Genkai Zhang (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Journal of Functional Analysis, 262 ( 9 ) s. 4140-4159
ISSN:
0022-1236
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2012
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
For bounded symmetric domains Omega = G/K of tube type and general domains of type 1, we consider the action of G on sections of a homogeneous line bundle over Omega and the corresponding eigenspaces of G-invariant differential operators. The Poisson transform maps hyperfunctions on the Shilov boundary S=K/L to the eigenspaces. We characterize the image in terms of twisted Hua operators. For some special parameters the Poisson transform is of Szego type whose image is in a relative discrete series; we compute the corresponding elements in the discrete series.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Matematik
Nyckelord:
Bounded symmetric domains, Shilov boundary, Invariant differential, Operators, Eigenfunctions, Poisson transform, Hua operators, Invariant differential-operators, Tube type, Representations, Kernels, Spaces
Postens nummer:
156872
Posten skapad:
2012-04-19 14:38