3 papers
math.CV2026
Approximation, interpolation, and lifting on the unit ball
Jaydeep Bhattacharjee, Deepak K. D., Jaydeb Sarkar
We solve the Nevanlinna-Pick interpolation problem on the open unit ball of the complex -space. Our solutions signify the role of inner functions on the unit ball, objects whose…
math.FA2026
Products of two orthogonal projections
Jaydeep Bhattacharjee, Jaydeb Sarkar
We study operators that are products of two orthogonal projections. Our results complement some of the classical results of Crimmins and von Neumann. Particular emphasis has been g…
math.FA2025
The Cowen-Douglas class and de Branges-Rovnyak spaces
Emmanuel Fricain, Jaydeb Sarkar
We establish a connection between the de Branges-Rovnyak spaces and the Cowen-Douglas class of operators which is associated with complex geometric structures. We prove that the ba…