Abstract
Let denote the vector space of complex-valued functions that are continuous on the closed unit disk and have nth order derivatives in D, which can be extended to functions continuous on . Let denote the subspace of the functions which are analytic in D. We prove that is a Banach algebra with multiplication as Duhamel product and describe its maximal ideal space. We also describe commutant and strong cyclic vectors of the integration operator
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More From: Complex Variables, Theory and Application: An International Journal
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