Theory of tempered ultrahyperfunctions, I

DOI10.3792/pja/1195518691zbMath0348.46029OpenAlexW4231588014MaRDI QIDQ4118327

Mitsuo Morimoto

Publication date: 1975

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518691

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15)

Related Items

Gamow states as continuous linear functionals over analytical test functions ⋮ Distributions of exponential growth with support in a proper convex cone ⋮ The Bochner–Schwartz theorem for Fourier ultra-hyperfunctions ⋮ A note on Fourier--Laplace transform and analytic wave front set in theory of tempered ultrahyperfunctions ⋮ Relativistic quantum field theory with a fundamental length ⋮ Twisted convolution and Moyal star product of generalized functions ⋮ Solvability of Lewy equation in the space of the tempered ultrahyperfunctions ⋮ Space of test functions for higher-order field theories ⋮ A proof of Paley–Wiener theorem for Fourier hyperfunctions with support in a proper convex cone by the heat kernel method ⋮ Theory of tempered ultrahyperfunctions, II ⋮ Directional time-frequency analysis and directional regularity ⋮ Holomorphic extension theorem for tempered ultrahyperfunctions ⋮ On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones ⋮ A characterization of distributions of exponential growth with support in a regular closed set ⋮ The structure of positive definite Fourier ultra-hyperfunctions

Cites Work

• Note on the \(n\)-dimensional tempered ultra distributions
• Les fonctions analytiques comme ultradistributions dans le calcul opérationnel
• On the space of convolution operators in $K'_{1}$

This page was built for publication: Theory of tempered ultrahyperfunctions, I