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math.FA2013
A subalgebra of the Hardy algebra relevant in control theory and its algebraic-analytic properties
Marie Frentz, Amol Sasane
We denote by A_0+AP_+ the Banach algebra of all complex-valued functions f defined in the closed right half plane, such that f is the sum of a holomorphic function vanishing at inf…
math.FA2013
Doubly commuting submodules of the Hardy module over polydiscs
Jaydeb Sarkar, Amol Sasane, Brett D. Wick
In this note we establish a vector-valued version of Beurling's Theorem (the Lax-Halmos Theorem) for the polydisc. As an application of the main result, we provide necessary and su…