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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…
Multiplicity-free homogeneous operators in the Cowen-Douglas class
Adam Korányi, Gadadhar Misra
In a recent paper, the authors have constructed a large class of operators in the Cowen-Douglas class Cowen-Douglas class of the unit disc which are {\em homogeneous} w…
On the irreducibility of a class of homogeneous operators
Gadadhar Misra, Subrata Shyam Roy
In this paper we construct a class of homogeneous Hilbert modules over the disc algebra as quotients of certain natural modules over the function algebra $…
On quasi-free Hilbert modules
Ronald G. Douglas, Gadadhar Misra
In this note we settle some technical questions concerning finite rank quasi-free Hilbert modules and develop some useful machinery. In particular, we provide a method for determin…