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On a Global Realization of a Discrete Series for $SU(n,1)$ as Applications of Szegö Operator and Limits of Discrete Series

On a Global Realization of a Discrete Series for $SU(n,1)$ as Applications of Szegö Operator and Limits of Discrete Series

In [KW] Knapp and Wallach gave an explicit imbedding of the discrete series of a connected semisimple Lie group $G$ with finite center as a subrepresentation in the nonunitary principal series.However, it was in an infinitesimally equivalent fashion.Recently, when real rank of $G$ is 1, Blank [B] gave an explicit …