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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, finiteq-variation or finiteq-semi-variation for 1<q≦∞.

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Authors and Affiliations

  1. Tel Aviv University, Tel Aviv, Israel

    D. Leviatan

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  1. D. Leviatan
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Leviatan, D. Some vector-valued laplace transforms. Israel J. Math. 16, 73–86 (1973). https://doi.org/10.1007/BF02761972

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  • DOI: https://doi.org/10.1007/BF02761972

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