3 papers
math.FA2026
Composition operators on de Branges spaces of entire functions
Bharti Garg, Subhankar Mahapatra, Santanu Sarkar
This paper aims to study the boundedness and compactness of composition operators from model spaces to the Hardy Hilbert spaces in the upper half-plane. Consequently, we investigat…
math.FA2024
de Branges matrices and associated de Branges spaces of vector valued entire functions
Subhankar Mahapatra, Santanu Sarkar
This paper extends the concept of de Branges matrices to any finite order where . We shall discuss these matrices along with the theory of de Branges spaces of $\…
math.FA2024
Analytic Kramer sampling and quasi Lagrange-type interpolation in vector valued RKHS
Subhankar Mahapatra, Santanu Sarkar
This paper discusses an abstract Kramer sampling theorem for functions within a reproducing kernel Hilbert space (RKHS) of vector valued holomorphic functions. Additionally, we ext…