Distributional convolutors for Fourier transform

DOI10.1016/j.jmaa.2006.01.066zbMath1126.46028OpenAlexW2027165933MaRDI QIDQ854062

Lourdes Rodríguez-Mesa, Claudio Jerez, Jorge J. Betancor, Sandra Monica Molina

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.066

zbMATH Keywords

Fourier analysisconvolution operatorsdistribution spaces

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (3)

On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ New spaces of functions and hyperfunctions for Hankel transforms and convolutions

Cites Work

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• A new theory for Fourier analysis. I: The space of test functions
• A new theory for Fourier analysis. IV: Basic multiplication and convolution on the dual space
• A new theory for Fourier analysis. V: Generalized multiplication and convolution on the dual space
• Convolution over the spaces \({\mathcal S}'_k\)
• Exponential bounds on elementary multipliers of generalized functions
• Fourier transform over the spaces \({\mathcal S}_ k'\)
• A new theory for Fourier analysis. II: Further analysis on the space of test functions
• A new theory for Fourier analysis. III: Basic analysis on the dual

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