Almost subadditive weight functions form Braun-Meise-Taylor theory of ultradistributions

DOI10.1016/j.jmaa.2009.08.037zbMath1194.46058OpenAlexW2077357131MaRDI QIDQ1043930

Alexander V. Abanin, Pham Trong Tien

Publication date: 10 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.037

zbMATH Keywords

ultradifferentiable functionsultradistributionsweight functions

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (5)

On the moment problem in the spaces of ultradifferentiable functions of mean type ⋮ 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 ⋮ On the continuous linear right inverse for convolution operators in spaces of ultradifferentiable functions

Cites Work

• The spaces of \(\Omega\)-ultradifferentiable functions and \(\Omega\)-ultradistributions
• Weight functions for classes of ultradifferentiable functions
• On Borel's theorem for spaces of ultradifferentiable functions of mean type
• Ultradifferentiable functions and Fourier analysis
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Linear partial differential operators and generalized distributions
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Sur quelques extensions de la notion de distribution
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