Composition for a class of generalized functions in Colombeau's theory

DOI10.1080/10652460108819302zbMath0991.46023OpenAlexW2157667383MaRDI QIDQ2759216

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Publication date: 28 August 2002

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460108819302

zbMATH Keywords

composite functionmultilinear mapsdifferential calculus in Banach spacesColombeau's theorycomposition of generalized functionshigher intrinsic derivativespace of generalized functions in Banach spaces

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• Composition and invertibility for a class of generalized functions in the Colombeau's theory
• Formulae for high derivatives of composite functions

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