On the Continuous Linear Right Inverse for a Convolution Operator

DOI10.1007/978-3-030-49763-7_14zbMath1490.44006OpenAlexW3120571495MaRDI QIDQ5013605

D. A. Polyakova

Publication date: 2 December 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_14

zbMATH Keywords

convolution operatorcontinuous linear right inversespaces of ultradifferentiable functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

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• Continuous linear right inverses for convolution operators in spaces of real analytic functions
• General solution of the homogeneous convolution equation in spaces of ultradifferentiable functions
• Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse

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