Fixed points of a class of unitary operators

Document Type: Original Article


P‎. ‎G‎. ‎Department‎ ‎of Mathematics‎, ‎Utkal University‎, ‎Vani Vihar‎, ‎Bhubaneswar‎- ‎751004‎, ‎Odisha‎, ‎India


In this paper, we  consider a class of unitary operators defined on the Bergman space of the right half plane and characterize the fixed points of these unitary operators. We also discuss certain intertwining properties of these operators. Applications of these results are also obtained.