4 papers
Dynamic Nevanlinna-Pick Theory, Covariance Dilations, and Non-commutative Varieties
Sourav Ghosh, Haripada Sau
We establish a dynamic generalization of Nevanlinna-Pick interpolation for functions invariant under the action of a finite Blaschke product , reducing global bounded holomorphi…
On de Branges--Rovnyak Kernels Admitting a Complete Pick Factor
Haripada Sau
For a contractive multiplier in the multiplier algebra of a kernel , the associated de Branges--Rovnyak kernel is given by $k^Ï(x,y) = (1-Ï(x)\overline{Ï(y)})k(x,…
Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
B. Krishna Das, Poornendu Kumar, Haripada Sau
We introduce the notion of Cayley--Hamilton tuples: these are commuting operator tuples that are annihilated by a non-zero polynomial and such that its Taylor joint spectrum coinci…
Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk
B. Krishna Das, Poornendu Kumar, Haripada Sau
Starting with a solvable Nevanlinna-Pick interpolation problem with the initial data coming from the symmetrized bidisk, this paper studies the corresponding uniqueness set, i.e.,…