A Phragmén-Lindelöf type quasi-analyticity principle

Grzegorz Łysik

ArticleOriginal scientific text

Title

A Phragmén-Lindelöf type quasi-analyticity principle

Authors ¹

Affiliations

Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

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.

Keywords

ENG

quasi-analyticity, Laplace distributions, Laplace ultradistributions, boundary values

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Title

A Phragmén-Lindelöf type quasi-analyticity principle

Affiliations

Abstract

Keywords

Bibliography