The structure of positive definite Fourier ultra-hyperfunctions

DOI10.1080/17476930500483240zbMath1116.46029OpenAlexW2062191600MaRDI QIDQ3423514

Masanori Suwa, Kunio Yoshino

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/17476930500483240

zbMATH Keywords

heat kernelBochner-Schwartz theoremFourier ultra-hyperfunction

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15)

Related Items (1)

On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth

Cites Work

• The Haag-Ruelle formulation of scattering in hyperfunction quantum field theory
• Transformation des fonctionnelles analytiques à porteurs non compacts
• Analytic functionals with non-compact carrier
• Fourier ultra-hyperfunctions as boundary values of smooth solutions of the heat equation.
• Distributions of exponential growth with support in a proper convex cone
• Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions
• Theory of tempered ultrahyperfunctions, I
• Relativistic quantum field theory with a fundamental length

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