A Phragmén-Lindelöf type quasi-analyticity principle
Studia Mathematica, Tome 123 (1997) no. 3, pp. 217-234
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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:
quasi-analyticity, Laplace distributions, Laplace ultradistributions, boundary values
@article{10_4064_sm_123_3_217_234,
author = {Grzegorz {\L}ysik},
title = {A {Phragm\'en-Lindel\"of} type quasi-analyticity principle},
journal = {Studia Mathematica},
pages = {217--234},
year = {1997},
volume = {123},
number = {3},
doi = {10.4064/sm-123-3-217-234},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-123-3-217-234/}
}
Grzegorz Łysik. A Phragmén-Lindelöf type quasi-analyticity principle. Studia Mathematica, Tome 123 (1997) no. 3, pp. 217-234. doi: 10.4064/sm-123-3-217-234
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