3 citations · 3 across the 5 of their papers we have counts for
5 papers
Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains
Adam Koranyi, Gadadhar Misra
It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic Lie algebra on finite dimensional inner pr…
Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class over bounded symmetric domains
Adam Koranyi, Gadadhar Misra
It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic group on finite dimensional inner product…
A classification of homogeneous operators in the Cowen-Douglas class
Adam Koranyi, Gadadhar Misra
An explicit construction of all the homogeneous holomorphic Hermitian vector bundles over the unit disc is given. It is shown that every such vector bundle is a direct…
A classification of homogeneous operators in the Cowen-Douglas class
Adam Korany, Gadadhar Misra
A complete list of homogeneous operators in the Cowen-Douglas class is given. This classification is obtained from an explicit realization of all the homogeneous Hermitian…
Cartan--Helgason theorem, Poisson transform, and Furstenberg--Satake compactifications
Adam Koranyi
The connections between the objects mentioned in the title are used to give a short proof of the Cartan--Helgason theorem and a natural construction of the compactifications.