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math.FA2017
Commutants and Reflexivity of Multiplication tuples on Vector-valued Reproducing Kernel Hilbert Spaces
Sameer Chavan, Shubhankar Podder, Shailesh Trivedi
Motivated by the theory of weighted shifts on directed trees and its multivariable counterpart, we address the question of identifying commutant and reflexivity of the multiplicati…
math.FA2017
Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs
Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi
Given a directed Cartesian product of locally finite, leafless, rooted directed trees of finite joint branching index, one may ass…
math.CV2017
Dirichlet Spaces Associated With Locally Finite Rooted Directed Trees
Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi
Let be a leafless, locally finite rooted directed tree. We associate with a one parameter family of Dirichlet spaces $\mathscr H_q~(q \geq…