Convolution and multiplication operators in Fourier hyperfunctions

DOI10.1080/1065246042000272027zbMath1106.46022OpenAlexW2093251826MaRDI QIDQ3377945

Dohan Kim, Kwang Whoi Kim, Eun Gu Lee

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1080/1065246042000272027

zbMATH Keywords

convolution operatormultiplierFourier hyperfunction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Hyperfunctions, analytic functionals (46F15)

Related Items (2)

Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces ⋮ A class of nonlinear integral operators preserving subordination and superordination

Cites Work

• Unnamed Item
• A characterization for Fourier hyperfunctions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Characterization for Beurling-Björck space and Schwartz space
• Periodic hyperfunctions and Fourier series

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