Premium
Characterizing the Phragmén‐Lindelöf condition for evolution on algebraic curves
Author(s) -
Boiti Chiara,
Meise Reinhold
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810280
Subject(s) - algebraic number , mathematics , characterization (materials science) , combinatorics , algebraic curve , pure mathematics , physics , mathematical analysis , optics
For an algebraic curve V in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb C}^k \times {\mathbb C}^n$\end{document} it is investigated when it satisfies the Phragmén‐Lindelöf condition PL(ω) of evolution in certain classes of ultradifferentiable functions. Necessary as well as sufficient conditions are obtained which lead to a complete characterization for curves in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb C}\times {\mathbb C}^n$\end{document} . Some examples illustrate how these results can be applied. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim