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Some vector-valued laplace transforms

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Abstract

Representation theorems for vector-valued Laplace transforms are discussed. Necessary and sufficient conditions are obtained in order that a function be the Laplace transform of a general vector measure and of a vector measure of finite variation, finite q-variation or finite q-semi-variation for 1<q≦∞.

Original languageEnglish
Pages (from-to)73-86
Number of pages14
JournalIsrael Journal of Mathematics
Volume16
Issue number1
DOIs
StatePublished - Mar 1973

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