Superposition operator in a space of infinitely differentiable functions

DOI10.4171/ZAA/1365zbMath1176.47046MaRDI QIDQ957471

Mario Romeo

Publication date: 27 November 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=4&rank=5

zbMATH Keywords

superposition operatorspaces of smooth functionsRicceri spacesRoumieu spaces

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) (C^infty)-functions, quasi-analytic functions (26E10)

Cites Work

• Composing infinitely differentiable functions
• Sur quelques extensions de la notion de distribution
• The Formula of FAA Di Bruno
• On the superpostition of functions in carleman classes
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