Displaying similar documents to “An intrinsic classification of the unitarizable highest weight modules as well as their associated varieties”

Norm estimates for unitarizable highest weight modules

Bernhard Krötz (1999)

Annales de l'institut Fourier

Similarity:

We consider families of unitarizable highest weight modules ( λ ) λ L on a halfline L . All these modules can be realized as vector valued holomorphic functions on a bounded symmetric domain 𝒟 , and the polynomial functions form a dense subset of each module λ , λ L . In this paper we compare the norm of a fixed polynomial in two Hilbert spaces corresponding to two different parameters. As an application we obtain that for all λ L the module of hyperfunction vectors λ - can be realized as the space of...