Characterization of convolution operators on spaces of \(C^{\infty}\)- functions admitting a continuous linear right inverse

DOI10.1007/BF01456196zbMath0607.42011OpenAlexW2060293297MaRDI QIDQ1085372

Dietmar Vogt, Reinhold Meise

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164312

zbMATH Keywords

convolution operatorultradifferentiable functionsFréchet space

Mathematics Subject Classification ID

Convolution, factorization for one variable harmonic analysis (42A85) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces, Real analytic parameter dependence of solutions of differential equations over Roumieu classes, Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse, The splitting condition for the weighted \(\overline \partial\)-complex, A note on projective limits of \(LB\)-spaces, Real analytic parameter dependence of solutions of differential equations, Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth, A splitting theorem for the space of smooth functions, Convolution operators on spaces of real analytic functions, On the Continuous Linear Right Inverse for a Convolution Operator, On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions

Cites Work

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• Necessary Conditions for Universal Interpolation in
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