Existence of a Phragmén-Lindelöf function and certain quasianalyticity conditions

DOI10.1007/BF01474145zbMath0544.31002MaRDI QIDQ796694

P. P. Kargaev

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

positive harmonic functionsquasi-analyticityPhragmen-Lindelöf function

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Other generalizations of function theory of one complex variable (32A30) Quasi-analytic and other classes of functions of one complex variable (30D60)

Cites Work

• Positive harmonic functions vanishing on the boundary of certain domains in \(R^ n\).
• Harmonic estimation in certain slit regions and a theorem of Beurling and Malliavin
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