FUNCTION THEORETIC OPERATOR THEORY
Our work in studying dynamical systems stems from a solid background in function theoretic operator theory. This brand of operator theory connects function with operators in a variety of ways. This includes composition operators, multiplication operators, Liouville operators, and Toeplitz operators. Frequently our work in this setting is targeted at characterizing those operators that are compact, bounded, or even densely defined.
Densely Defined Multiplication and Toeplitz Operators
Introducing the Polylogarithmic Hardy
Space
Joel A. Rosenfeld
The Sarason sub-symbol and the recovery of the symbol of densely defined Toeplitz operators over the Hardy space
Joel A. Rosenfeld
Densely Defined Multiplication on Several Sobolev Spaces of a Single Variable
Joel A. Rosenfeld