Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval

DOI10.1134/S0037446612020206zbMath1278.46036OpenAlexW2016690365MaRDI QIDQ1760513

D. A. Abanina

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612020206

zbMATH Keywords

weight functionconvolution operatorconvolution equationdivision theoremBeurling type ultradifferentiable functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Ordinary differential equations of infinite order (34A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (5)

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces ⋮ ON PROPERTIES OF FUNCTIONS INVERTIBLE IN THE SENSE OF EHRENPREIS IN THE SCHWARTZ ALGEBRA ⋮ On solutions of convolution equations in spaces of ultradifferentiable functions ⋮ Generators for spaces of entire functions with a system of weighted estimates ⋮ Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval

Cites Work

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