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Displaying similar documents to “A generalized function calculus based on the Laplace transform”

A Phragmén-Lindelöf type quasi-analyticity principle

Grzegorz Łysik (1997)

Studia Mathematica

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Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.