Composition in ultradifferentiable classes
Armin Rainer ; Gerhard Schindl
Studia Mathematica, Tome 223 (2014), p. 97-131 / Harvested from The Polish Digital Mathematics Library
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We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space (ω) and the Roumieu space ω as intersection and union of spaces (M) and M for associated weight sequences, respectively.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285566 
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Armin Rainer; Gerhard Schindl. Composition in ultradifferentiable classes. Studia Mathematica, Tome 223 (2014) pp. 97-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-1/