Principal submodules in the Schwartz module

DOI10.3103/S1066369X20050084zbMath1466.46039OpenAlexW3034882892MaRDI QIDQ2203296

Yanyan Li

Publication date: 5 October 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x20050084

zbMATH Keywords

entire functionsspectral synthesisSchwartz spacelocal description of ideals and submodules

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Synthesizable sequence and principle submodules in Schwartz module ⋮ On zero setsof weakly localisable pricipal submodules in the Schwartz algebra

Cites Work

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• Spectral synthesis in the Schwartz space of infinitely differentiable functions
• Subspaces of \(C^\infty\) invariant under the differentiation
• Derivation-invariant subspaces of \(C^{\infty}\)
• Spectral synthesis for the differentiation operator in the Schwartz space
• Synthesizable differentiation-invariant subspaces
• Principal submodules in the module of entire functions, which is dual to the Schwarz space, and weak spectral synthesis in the Schwartz space
• LOCAL DESCRIPTION OF CLOSED IDEALS AND SUBMODULES OF ANALYTIC FUNCTIONS OF ONE VARIABLE. I
• On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis
• Closed submodules in the module of entire functions of exponential type and polynomial growth on the real axis

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