A non-analytic growth bound for Laplace transforms and semigroups of operators

Let f : ℝ+ → ℂ be an exponentially bounded, measurable function. We introduce a growth bound ζ(f) which measures the extent to which f can be approximated by holomorphic functions. This growth bound is related to the location of the domain of holomorphy of the Laplace transform of f far from the rea...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Batty, C, Blake, MD, Srivastava, S
Fformat: Journal article
Iaith:English
Cyhoeddwyd: 2003