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Abstract
We introduce the Laplace hyperfunctions generalizing all the Laplace transformable generalized functions. Also, we study various properties of the Laplace transform on Laplace hyperfunctions including the Paley–Wiener type theorem for the Laplace transform.
Acknowledgements
The first author E.G. Lee is supported by the Research Foundation of Dongyang Technical College. The second author D. Kim also holds joint appointment in the Research Institute of Mathematics and is partially supported by the Research Institute of Mathematics, Seoul National University.