ON PROPERTIES OF FUNCTIONS INVERTIBLE IN THE SENSE OF EHRENPREIS IN THE SCHWARTZ ALGEBRA

DOI10.32523/2077-9879-2022-13-1-09-18zbMath1499.30241OpenAlexW4285038603MaRDI QIDQ5086502

Natalia Abuzyarova

Publication date: 5 July 2022

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

Full work available at URL: http://mathnet.ru/eng/emj428

zbMATH Keywords

entire functionSchwartz algebraslowly decreasing functiondistribution of zero sets

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

On properties of zero sets of divisors in weighted spaces of entire functions ⋮ Perturbations of an integer sequence as zero sets of divisors in some spaces of entire functions

Cites Work

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• A new look at interpolation theory for entire functions of one variable
• Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• On conditions of invertibility in the sense of Ehrenpreis in the Schwartz algebra
• On shifts of the sequence of integers generating functions that are invertible in the sense of Ehrenpreis
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators