Perturbations of surjective convolution operators

DOI10.1090/S0002-9939-02-06359-1zbMath1009.46017OpenAlexW1801224955MaRDI QIDQ4529687

Carmen Fernández, Antonio Galbis, David Jornet

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06359-1

zbMATH Keywords

convolution operatorslowly decreasingspaces of \(\omega\)-ultra-distribution of Beurling (resp. Reumieu) typeultradistributions.

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (2)

Positivity, monotonicity, and convexity for convolution operators ⋮ Perturbation of a surjective convolution operator

Cites Work

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• On the range of convolution operators
• Invertible operators and interpolation in AU spaces
• Ultradifferentiable functions and Fourier analysis
• Supports and singular supports of convolutions
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Existence of Fundamental Solutions and Surjectivity of Convolution Operators on Classes of Ultra-Differentiable Functions

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