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An Analytic Semigroup Setting for a Class of Volterra Equations

An Analytic Semigroup Setting for a Class of Volterra Equations

We provide a semigroup setting for the scalar Volterra integrodifferential equation of convolution typewith a completely monotonic kernel a : (0, ∞) → R. Using the analyticity of the semigroup and interpolation methods we analyze regularity of solutions.