5 papers · 1 filter
Vector valued de Branges spaces, CNU contractions and functional models
Bharti Garg, Santanu Sarkar
In this paper, we study vector valued de Branges spaces associated with a de Branges operator, defined as a pair of Fredholm operator valued analytic functions on a domain symmetri…
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…
Some aspects of vector valued de Branges spaces of entire functions
Subhankar Mahapatra, Santanu Sarkar
This paper deals with certain aspects of the vector valued de Branges spaces of entire functions that are based on pairs of Fredholm operator valued functions. Some factorization a…
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 $\…
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…