4 papers
On analytic structure of weighted shifts on generalized directed semi-trees
Gargi Ghosh, Somnath Hazra
Inspired by natural classes of examples, we define generalized directed semi-tree and construct weighted shifts on the generalized directed semi-trees. Given an -tuple of direct…
Semi-Lexical Languages -- A Formal Basis for Unifying Machine Learning and Symbolic Reasoning in Computer Vision
Briti Gangopadhyay, Somnath Hazra, Pallab Dasgupta
Human vision is able to compensate imperfections in sensory inputs from the real world by reasoning based on prior knowledge about the world. Machine learning has had a significant…
A product formula for homogeneous characteristic functions
Bhaskar Bagchi, Somnath Hazra, Gadadhar Misra
A bounded linear operator on a Hilbert space is said to be homogeneous if is unitarily equivalent to for all in the group Möb of bi-holomorphic automorphisms of…
Homogeneous -shifts
Somnath Hazra
The classification of homogeneous scalar weighted shifts is known. Recently, Korányi obtained a large class of inequivalent irreducible homogeneous bi-lateral -by- block shif…