Fourier analysis of generalized functions

DOI10.1080/10652469.2010.541051zbMath1229.46031OpenAlexW2134496618MaRDI QIDQ3015103

Tayeb Saidi, Chikh Bouzar

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.541051

zbMATH Keywords

Fourier transformColombeau algebraproduct of distributionswave front setmicrolocal analysis

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) General integral transforms (44A05)

Related Items (1)

The linear canonical wavelet transform on some function spaces

Cites Work

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• Regular rapidly decreasing nonlinear generalized functions. Application to microlocal regularity
• CHARACTERIZATIONS OF RAPIDLY DECREASING GENERALIZED FUNCTIONS
• MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES
• Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
• Microlocal properties of basic operations in Colombeau algebras

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