On Borel's theorem for spaces of ultradifferentiable functions of mean type

DOI10.1007/BF03322982zbMath1057.46025MaRDI QIDQ1430546

D. A. Abanina

Publication date: 27 May 2004

Published in: Results in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (9)

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces ⋮ On the moment problem in the spaces of ultradifferentiable functions of mean type ⋮ Solvability of inhomogeneous Cauchy-Riemann equation in spaces of functions with a system of uniform weight estimates ⋮ Generators for spaces of entire functions with a system of weighted estimates ⋮ Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type ⋮ Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval ⋮ Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions ⋮ 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

• On E. Borel's theorem
• Ultradifferentiable functions and Fourier analysis
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
• Interpolation in Non-Quasi-Analytic Classes of Infinitely Differentiable Functions.
• On Universal Moment Problems.
• Produits tensoriels topologiques et espaces nucléaires
• Regularly varying functions
• On Whitney's extension theorem for spaces of ultradifferentiable functions
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