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Multidimensional vector-valued Laplace transform and applications (2506.18909v1)
Published 29 Apr 2025 in math.FA
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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