4 papers
math.RT2020
A very easy approach to the holomorphic discrete series
Adam Korányi
Based on the material in an old article of Wallach a short proof of the Harish-Chandra condition is given.
math.FA2009
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…
math.DG2008
A unified approach to compact symmetric spaces of rank one
Adam Korányi, Fulvio Ricci
A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some application…
math.FA2006
Homogeneous operators on Hilbert spaces of holomorphic functions -- I
Adam Korányi, Gadadhar Misra
In this paper we construct a large class of multiplication operators on reproducing kernel Hilbert spaces which are {\em homogeneous} with respect to the action of the Möbius group…