Closed submodules in the module of entire functions of exponential type and polynomial growth on the real axis

DOI10.13108/2014-6-4-3zbMath1463.30123OpenAlexW2334004666MaRDI QIDQ5137200

Natal'Ya Fairbakhovna Abuzyarova

Publication date: 2 December 2020

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

Full work available at URL: http://mathnet.ru/eng/ufa256

zbMATH Keywords

Fourier-Laplace transforminvariant subspacesentire functionsspectral synthesisfinitely generated 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 (8)

Preservation of classes of entire functions defined in terms of growth restrictions along the real axis under perturbations of their zero sets ⋮ Spectral synthesis for the differentiation operator in the Schwartz space ⋮ Principal submodules in the Schwartz module ⋮ On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis ⋮ Synthesizable sequence and principle submodules in Schwartz module ⋮ On zero setsof weakly localisable pricipal submodules in the Schwartz algebra ⋮ Principal submodules in the module of entire functions, which is dual to the Schwarz space, and weak spectral synthesis in the Schwartz space ⋮ Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval

Cites Work

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