Multidimensional vector-valued Laplace transform and applications
Functional Analysis
2025-06-25 v1
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.
Cite
@article{arxiv.2506.18909,
title = {Multidimensional vector-valued Laplace transform and applications},
author = {Marko Kostic},
journal= {arXiv preprint arXiv:2506.18909},
year = {2025}
}