scientific article; zbMATH DE number 1494247

zbMath0956.46028MaRDI QIDQ4497400

Carmen Fernández, José Bonet, Reinhold Meise

Publication date: 27 August 2000

Full work available at URL: https://eudml.org/doc/120831

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

characterizationsFourier-Laplace transformultradifferentiable functionsingular supportultradistributionhypoelliptic convolution operatorselementary solution of the convolution equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) PDEs of infinite order (35R50)

Related Items (12)

Beurling ultradistributions of \(L_{p}\)-growth ⋮ \(\omega\)-hypoelliptic differential operators of constant strength ⋮ A characterization of the wave front set defined by the iterates of an operator with constant coefficients ⋮ Positivity, monotonicity, and convexity for convolution operators ⋮ Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes ⋮ Fréchet spaces invariant under differential operators ⋮ Pseudodifferential operators of Beurling type and the wave front set ⋮ Regularity of solutions of convolution equations ⋮ Quasianalytic wave front sets for solutions of linear partial differential operators ⋮ Spectrum of the Cesàro operator on the ultradifferentiable function spaces \(\mathcal{E}_\omega (\mathbb{R}_+)\) ⋮ On Hankel Transform and Hankel Convolution of Beurling Type Distributions Having Upper Bounded Support ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

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