On the Laplace transform for vector valued hyperfunctions (Q617792)

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scientific article; zbMATH DE number 5835884
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On the Laplace transform for vector valued hyperfunctions
scientific article; zbMATH DE number 5835884

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    On the Laplace transform for vector valued hyperfunctions (English)
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    13 January 2011
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    From the authors' abstract: We introduce a Laplace transform for Laplace hyperfunctions valued in a complete locally convex space \(X\). In this general case the Laplace transform is a compatible family of holomorphic functions with values in local Banach spaces. Especially interesting is the case where \(X=L_b(E,F)\) is the space of operators between locally convex spaces.
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    Laplace hyperfunctions
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    Laplace transform
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    locally convex spaces
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