A Calculus Approach to Hyperfunctions. II

DOI10.2307/2001421zbMath0681.46042OpenAlexW4231169195MaRDI QIDQ4730311

Tadato Matsuzawa

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001421

zbMATH Keywords

ultradistributionswave front setanalytic functionalhyperfunctions with compact support

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Heat equation (35K05) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items

Almost periodic hyperfunctions, Mehler kernel approach to Fourier ultra-hyperfunctions, Fourier hyperfunctions as the boundary values of smooth solutions of heat equations, Distributions of exponential growth with support in a proper convex cone, Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions, Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces, The Yang-Mills heat semigroup on three-manifolds with boundary, The action of operator semigroups on the topological dual of the Beurling-Björck space, Ulam problem for the cosine addition formula in Sato hyperfunctions, Quasiasymptotic analysis in Colombeau algebra, Nonlinear two-term time fractional diffusion-wave problem, Quasianalytic Gelfand-Shilov spaces with application to localization operators, Sampling theorem for entire functions of exponential growth, Ulam problem for the sine addition formula in hyperfunctions, Periodic hyperfunctions and Fourier series, Fourier ultra-hyperfunctions as boundary values of smooth solutions of the heat equation., Bochner-Schwartz theorems for ultradistributions, An integral transformation and its applications to harmonic analysis on the space of solutions of heat equation, Non-isotropic Gevrey hypoellipticity for Grushin operators., Liouville's theorem and Laurent series expansions for solutions of the heat equation, Representation of quasianalytic ultradistributions

Cites Work

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• Gevrey hypoellipticity of a class of pseudodifferential operators
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• A calculus approach to hyperfunctions I