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.