Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domainsReportar como inadecuado




Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 Analyse IECL - Institut Élie Cartan de Lorraine 2 Chalmers University of Technology Gothenburg

Abstract : Let Ω = G-K be a bounded symmetric domain and S = K-L its Shilov boundary. We consider the action of G on sections of a homogeneous line bundle over Ω and the corresponding eigenspaces of G-invariant differential operators. The Poisson transform maps hyperfunctions on S to the eigenspaces. We characterize the image in terms of twisted Hua operators. For some special parameters the Poisson transform is of Szegö type whose image is in a relative discrete series; we compute the corresponding elements in the discrete series.





Autor: Khalid Koufany - Genkai Zhang -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados