A quasianalytic singular spectrum with respect to the Denjoy-Carleman class

DOI10.1017/S0027763000006474zbMath0893.46034OpenAlexW1773728568MaRDI QIDQ4386138

Soon-Yeong Chung, Dohan Kim

Publication date: 24 August 1998

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000006474

zbMATH Keywords

Fourier hyperfunctionsDenjoy-Carleman classquasianalyticnonquasianalyticFourier-Bros-Iagolnitzer transformsHörmander's definitionquasianalytic singular spectrum

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral transforms in distribution spaces (46F12) Hyperfunctions, analytic functionals (46F15) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items

Characterization of the SG-wave front set in terms of the FBI-transform ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ Denjoy-Carleman classes: boundary values, approximate solutions and applications ⋮ Approximate solutions and micro-regularity in the Denjoy-Carleman classes ⋮ Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions ⋮ Wave-front sets related to quasi-analytic Gevrey sequences

Cites Work

• A characterization for Fourier hyperfunctions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Fourier integral operators. I
• Propagation of analytic singularities for second order dirichlet problems
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients