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Displaying similar documents to “Analytic number theory in formations based on additive arithmetical semigroups.”

Boundary values of analytic semigroups and associated norm estimates

Isabelle Chalendar, Jean Esterle, Jonathan R. Partington (2010)

Banach Center Publications

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The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.