Hyperfunction fundamental solutions of surjective convolution operators on real analytic functions

DOI10.1006/jfan.1995.1083zbMath0841.46025OpenAlexW1992398646MaRDI QIDQ1908149

Michael Langenbruch

Publication date: 20 March 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1083

zbMATH Keywords

Fourier transformhyperfunctional elementary solutionssurjectivity of the convolution operator

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Hyperfunctions, analytic functionals (46F15)

Related Items (6)

Hadamard multipliers on spaces of real analytic functions ⋮ Real analytic curves in Fréchet spaces and their duals ⋮ Convolution operators on spaces of real analytic functions ⋮ Representation of multipliers on spaces of real analytic functions ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences ⋮ Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

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