Convolution and Fourier transform over the spaces

DOI10.1080/10652469.2012.696194zbMath1296.46036OpenAlexW1982877081MaRDI QIDQ2841934

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Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1080/10652469.2012.696194

zbMATH Keywords

Fourier transformdistributionconvolution

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Unnamed Item
• Convolution over the spaces \({\mathcal S}'_k\)
• Fourier transform over the spaces \({\mathcal S}_ k'\)
• Convolution and Fourier transform over the spaces \({\mathcal K}_{p,k}'\), \(p>1\)
• On the Convolution in the Space ofK′{Mp}-Type
• On the convolution in gel'fand—shilov spaces
• Distributional representation of a Fourier inversion formula
• On the convolution in the gel'fand-shilov spaces
• On the convolution in the space of tempered ultradistributions of Beurling type

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