Fourier transforms via heat kernel

DOI10.1080/10652460310001600627zbMath1062.46029OpenAlexW2000276138MaRDI QIDQ4822871

Chang Eon Shin, Dohan Kim, Jae-Young Chung

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/10652460310001600627

zbMATH Keywords

Fourier transformdistributionsheat kernelFourier hyperfunctions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Heat equation (35K05) Hyperfunctions, analytic functionals (46F15) Fourier series and coefficients in several variables (42B05)

Cites Work

• Representation of quasianalytic ultradistributions
• A characterization for Fourier hyperfunctions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Hilbert transform of generalized functions of L^p-growth^*

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