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RESEARCH PRODUCT
Superposition in Classes of Ultradifferentiable Functions
Carmen FernándezAntonio Galbissubject
Discrete mathematicsSuperposition operatorSuperposition principlePure mathematicsClass (set theory)General MathematicsDifferentiable functionComposition (combinatorics)Characterization (mathematics)Mathematicsdescription
We present a complete characterization of the classes of ultradifferentiable functions that are holomorphically closed. Moreover, we show that any class holomorphically closed is also closed under composition (now without restrictions on the number of variables). In this case, we also discuss continuity and differentiability properties of the non-linear superposition operator g → f ◦ g.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 | Publications of the Research Institute for Mathematical Sciences |