Smoothness in disjoint groups of real functions under composition

DOI10.1007/BF01838152zbMath0702.26010MaRDI QIDQ914870

George Blanton

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137250

zbMATH Keywords

diffeomorphismcompletionfinitely generated\(C^{\infty }\) bijectionscomplete disjoint iteration groupdense disjoint iteration group of continuous bijectionsderivatives of compositions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

Cites Work

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• Sigma-finite invariant measures for smooth mappings of the circle
• A dense subsemigroup of S(R) generated by two elements
• The Formula of FAA Di Bruno
• On Functions with Infinitely Many Derivatives

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