Cauchy and Poisson integral of the convolutor in Beurling ultradistributions of \(L_p\)-growth

DOI10.1155/2014/926790zbMath1319.46030OpenAlexW2031092155WikidataQ59044365 ScholiaQ59044365MaRDI QIDQ2260343

Byung Keun Sohn

Publication date: 10 March 2015

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/926790

zbMATH Keywords

ultradistributionsconvolutorsCauchy integral of ultradistributionsPoisson integral of ultradistributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

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• Ultradifferentiable functions and Fourier analysis
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Beurling ultradistributions of \(L_{p}\)-growth
• Linear partial differential operators and generalized distributions
• Almost periodic ultradistributions of Beurling and of Roumieu type
• Cauchy and poisson intergral of ultredistributions
• Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values
• Generalized Cauchy and Poisson Integrals and Distributional Boundary Values

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