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math.FA2025
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.,…
math.FA2024
Isometric dilation and Sarason's commutant lifting theorem in several variables
B. Krishna Das, Samir Panja
The article deals with isometric dilation and commutant lifting for a class of -tuples of commuting contractions. We show that operator tuples in the class dilate t…