2 papers
math.CV2026
Dirichlet symbols and the nonlinear wave equation
Ramlal Debnath, Haakan Hedenmalm
We study the operator symbols of Dirichlet type introduced by Hedenmalm and Shimorin (2020), in connection with a given contraction on of the unit disk. They are always holom…
math.FA2025
Inner and characteristic functions in polydiscs
Ramlal Debnath, Deepak K. Pradhan, Jaydeb Sarkar
Characteristic functions of linear operators are analytic functions that serve as complete unitary invariants. Such functions, as long as they are built in a natural and canonical…