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This monograph systematically explores vector-valued Laplace transforms, covering representation theory, Tauberian theorems, and linear Cauchy problems. It examines existence, uniqueness, regularity, approximation, and asymptotic behavior of solutions, with applications to partial differential equations. The second edition includes updates on recent developments and corrected errors.
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Vector-valued Laplace Transforms and Cauchy Problems. Second Edition, Wolfgang Arendt, Charles J.K. Batty
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- 2013
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