29 citations · 79 across the 6 of their papers we have counts for
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Normal weighted composition operators on the Hardy space
Paul S. Bourdon, Sivaram K. Narayan
Let g be an analytic function on the open unit disc U such that g(U) is contained in U, and let h be an analytic function on U such that the weighted composition operator W_{h,g) d…
Spectra of some composition operators and associated weighted composition operators
Paul S. Bourdon
We characterize the spectrum and essential spectrum of "essentially linear fractional" composition operators acting on the Hardy space H-two of the open unit disc U. When the symbo…
Intertwining relations and extended eigenvalues for analytic Toeplitz operators
Paul S. Bourdon, Joel H. Shapiro
We study the intertwining relations between analytic Toeplitz operators induced on the Hardy space H^2 by analytic functions bounded on the open unit disc. Our work centers on the…
Adjoints of rationally induced composition operators
Paul S. Bourdon, Joel H. Shapiro
We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H^2. W…