On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis

DOI10.13108/2016-8-3-8zbMath1463.30122OpenAlexW2588864674MaRDI QIDQ5136180

Natal'Ya Fairbakhovna Abuzyarova

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa322

zbMATH Keywords

Fourier-Laplace transforminvariant subspacesentire functionsspectral synthesissubharmonic functionsfinitely generated submodulesdescription of submoduleslocal description of submodules

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Special classes of entire functions of one complex variable and growth estimates (30D15) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (4)

On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components ⋮ Principal submodules in the Schwartz module ⋮ Synthesizable sequence and principle submodules in Schwartz module ⋮ On zero setsof weakly localisable pricipal submodules in the Schwartz algebra

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