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math.FA2019
Boundary values of holomorphic semigroups and fractional integration
Omar EL-Mennaoui, Valentin Keyantuo, Ahmed Sani
The concept of boundary values of holomorphic semigroups in a general Banach space is studied. As an application, we consider the Riemann-Liouville semigroup of integration operato…
math.FA2013
Sharp extensions for convoluted solutions of abstract Cauchy problems
Valentin Keyantuo, Pedro J. Miana, Luis Sánchez-Lajusticia
In this paper we give sharp extension results for convoluted solutions of abstract Cauchy problems in Banach spaces. The main technique is the use of algebraic structure (for usual…