The Hua operators on homogeneous line bundle on Bounded Symmetric Domains of Tube Type

Details The Hua operators on homogeneous line bundle on Bounded Symmetric Domains of Tube Type The Hua operators on homogeneous line bundle on Bounded Symmetric Domains of Tube Type

2011-10-02

arxiv.org/abs/1110.0199v1

Mathematics

Representation Theory

Scientific paper

Let D be a bounded symmetric domain of tube type . We show that the image of
the Poisson transform on the degenerate principal series representation
attached to the Shilov boundary of D is characterized by a covariant
differential operator on a homogeneous line bundle on D.

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