Ramlal Debnath

I am a postdoctoral fellow in the Department of Mathematics at KTH Royal Institute of Technology, Stockholm. Mentor: Prof. Håkan Hedenmalm.

My research interests are in multivariable operator theory and analytic function theory on the polydisc and ball, and their interplay in particular. More specifically, I am interested in dilation theory, reproducing kernel Hilbert spaces (such as Hardy spaces, Bergman spaces, Drury-Arveson spaces, de Branges-Rovnyak spaces, and model spaces), the structure of invariant subspaces, linear system theory, transfer function realizations, Nevanlinna-Pick interpolation problems, commutant lifting, and factorization problems.