Parametric representation of infinitesimal generators on the polydisk

DOI10.1007/S11785-015-0450-2zbMath1338.32017OpenAlexW1973208029MaRDI QIDQ285488

Ren-Yu Chen, Ze-Hua Zhou

Publication date: 19 May 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0450-2

zbMATH Keywords

infinitesimal generatorone-parameter semigroup of holomorphic maps

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

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• Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
• Asymptotic behavior of one-parameter semigroups and rigidity of holomorphic generators
• Another look at the Burns-Krantz theorem
• The infinitesimal generators of semigroups of holomorphic maps
• Semigroups of analytic functions and composition operators
• A characterization of holomorphic generators on the Cartesian product of Hilbert balls
• On the linearization of a class of semigroups on the unit ball of \(\mathbb{C}^ n\)
• Parametric representations of semi-complete vector fields on the unit balls in \(\mathbb{C}^ n\) and in Hilbert space.
• Affine infinitesimal generators of semigroups on the polydisk
• Infinitesimal generators associated with semigroups of linear fractional maps
• Semigroups of holomorphic functions in the polydisk
• One-parameter semigroups of analytic functions, fixed points and the Koenigs function

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