Laplace hyperfunctions in several variables
Naofumi Honda, Kohei Umeta
TL;DR
This paper develops a theory of Laplace hyperfunctions in multiple variables, establishing an edge of the wedge theorem and exploring fundamental properties of the associated sheaf.
Contribution
It introduces the sheaf of Laplace hyperfunctions in several variables and proves an edge of the wedge theorem for holomorphic functions with exponential growth.
Findings
Established an edge of the wedge theorem for the sheaf of holomorphic functions with exponential growth.
Constructed the sheaf of Laplace hyperfunctions in several variables.
Studied fundamental properties of the sheaf of Laplace hyperfunctions.
Abstract
We establish an edge of the wedge theorem for the sheaf of holomorphic functions with exponential growth at infinity and construct the sheaf of Laplace hyperfunctions in several variables. We also study the fundamental properties of the sheaf of Laplace hyperfunctions.
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Taxonomy
TopicsMeromorphic and Entire Functions · Algebraic and Geometric Analysis · Advanced Differential Equations and Dynamical Systems