On injectivity of fourier transform on Colombeau's algebra of generalized functions

DOI10.1080/10652469808819176zbMath0918.46045OpenAlexW2038719518WikidataQ122902109 ScholiaQ122902109MaRDI QIDQ3841135

Roberto Luiz Soraggi

Publication date: 16 August 1998

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

Full work available at URL: https://doi.org/10.1080/10652469808819176

zbMATH Keywords

Paley-Wiener theoremapproximate inverseColombeau's generalized functionscompactly supported generalized functionsinjectivity of the Colombeau-Fourier transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Operations with distributions and generalized functions (46F10)

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• Paley-Wiener type theorems for Colombeau's generalized functions
• Fourier analysis on Colombeau's algebra of generalized functions

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