A characterization of distributions of exponential growth with support in a regular closed set

DOI10.1080/17476933.2013.854345zbMath1311.46038OpenAlexW2320096670MaRDI QIDQ5495719

Masanori Suwa

Publication date: 6 August 2014

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

Full work available at URL: https://doi.org/10.1080/17476933.2013.854345

zbMATH Keywords

distributionsheat kernelexponential growthMehler kernel

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (2)

Mehler kernel approach to Fourier ultra-hyperfunctions ⋮ Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces

Cites Work

• A characterization of the tempered distributions with regular closed support by Bloch equations
• Note on the \(n\)-dimensional tempered ultra distributions
• 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
• Les fonctions analytiques comme ultradistributions dans le calcul opérationnel
• ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH HYPERFUNCTIONS INITIAL VALUE
• A calculus approach to hyperfunctions I
• Theory of tempered ultrahyperfunctions, I
• Characterization of Fourier hyperfunctions by solutions of the Hermite heat equation

This page was built for publication: A characterization of distributions of exponential growth with support in a regular closed set