Mehler kernel approach to Fourier ultra-hyperfunctions

DOI10.1080/17476933.2020.1828376zbMath1494.46038OpenAlexW3110660960MaRDI QIDQ5037854

Masanori Suwa

Publication date: 4 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1828376

zbMATH Keywords

Hermite heat equationMehler kernelFourier ultra-hyperfunction

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

• A characterization of the tempered distributions with regular closed support by Bloch equations
• Transformation des fonctionnelles analytiques à porteurs non compacts
• Analytic functionals with non-compact carrier
• On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth
• Fourier ultra-hyperfunctions as boundary values of smooth solutions of the heat equation.
• Distributions of exponential growth with support in a proper convex cone
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Mehler kernel approach to tempered distributions
• Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces
• A calculus approach to hyperfunctions I
• A Calculus Approach to Hyperfunctions. II
• Characterization of Fourier hyperfunctions by solutions of the Hermite heat equation
• A characterization of distributions of exponential growth with support in a regular closed set
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