𝒢L-microlocal analysis of generalized functions

DOI10.1080/10652460500437732zbMath1105.46028OpenAlexW1511951325MaRDI QIDQ5291798

Jean-André Marti

Publication date: 22 May 2006

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

Full work available at URL: https://doi.org/10.1080/10652460500437732

zbMATH Keywords

Fourier transformgeneralized functionsanalytic Gevrey and C\(^{L}\) classes

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (3)

Regularity, local and microlocal analysis in theories of generalized functions ⋮ Regular rapidly decreasing nonlinear generalized functions. Application to microlocal regularity ⋮ Real analytic generalized functions

Cites Work

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• Differential algebras and the nonlinear Goursat problem with irregular data
• Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.
• Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II
• MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES
• Fundamental structures and asymptotic microlocalization in sheaves of generalized functions
• Microlocal properties of basic operations in Colombeau algebras

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