Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions

DOI10.2977/prims/1195163720zbMath0851.46030OpenAlexW2046634904MaRDI QIDQ1913420

Soon-Yeong Chung, Dohan Kim

Publication date: 14 May 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195163720

zbMATH Keywords

Fourier transformkernel methodexponential growthgeneralized Bochner-Schwartz theoreminfra-exponentially tempered measurepositive definite Fourier hyperfunction

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Heat equation (35K05) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (11)

Distributions of exponential growth with support in a proper convex cone ⋮ The Bochner–Schwartz theorem for Fourier ultra-hyperfunctions ⋮ Positive definite temperature functions and a correspondence to positive temperature functions ⋮ Characterization for Beurling-Björck space and Schwartz space ⋮ Fourier analysis, distributions and hyperfunctions ⋮ Positive definiteness of temperature functions ⋮ Global regularity of positive define continous functions ⋮ Bochner-Schwartz theorems for ultradistributions ⋮ An integral transformation and its applications to harmonic analysis on the space of solutions of heat equation ⋮ The structure of positive definite Fourier ultra-hyperfunctions ⋮ Conditionally positive definite hyperfunctions

Cites Work

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• Note on the \(n\)-dimensional tempered ultra distributions
• On the boundary value of a solution of the heat equation
• Representation of quasianalytic ultradistributions
• A characterization for Fourier hyperfunctions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• A Calculus Approach to Hyperfunctions. II

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