Representation of quasianalytic ultradistributions

DOI10.1007/BF02559497zbMath0815.46036OpenAlexW2014599824MaRDI QIDQ1312336

Dohan Kim, Soon-Yeong Chung

Publication date: 31 January 1994

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559497

zbMATH Keywords

representation theoremnon-quasianalytic classesquasianalytic ultradistributionsultradifferential operator

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15)

Related Items

Almost periodic hyperfunctions, Rotation Inveriant Generalized Functioins^∗, Fourier transforms via heat kernel, Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces, Unique continuation of microlocally analytic functions and their structure, Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions, Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces, Characterizations of the Gelfand-Shilov spaces via Fourier transforms, Paley-wiener type theorems for the temperature transform^∗, Fourier analysis, distributions and hyperfunctions, Isolated Singularities of Harmonic Functions and Analytic Functions^∗, Hilbert transform of generalized functions of L^p-growth^*, Quasianalytic Gelfand-Shilov spaces with application to localization operators, Sampling theorem for entire functions of exponential growth, Periodic hyperfunctions and Fourier series, On the structure of generalized functions† ‡, Interpolation of entire functions of finite order, Bochner-Schwartz theorems for ultradistributions

Cites Work

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• On E. Borel's theorem
• On the Laplace transorm of functionals on classes of infinitely differentiable functions
• A Calculus Approach to Hyperfunctions. II