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arXiv · 2506.18909

Multidimensional vector-valued Laplace transform and applications

Marko Kostic
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Abstract

In this paper, we introduce and analyze multidimensional vector-valued Laplace transform of functions with values in sequentially complete locally convex spaces. A great number of our results seem to be new even for the functions with values in Banach spaces. We provide several new applications of multidimensional vector-valued Laplace transform to the abstract Volterra integro-differential inclusions with multiple variables, as well.

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Marko Kostic. 2025-04-29. Multidimensional vector-valued Laplace transform and applications. https://arxiv.org/abs/2506.18909

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