Principal submodules in the module of entire functions, which is dual to the Schwarz space, and weak spectral synthesis in the Schwartz space
DOI10.1007/s10958-019-04453-0zbMath1426.30016OpenAlexW2967182010MaRDI QIDQ2331416
Publication date: 29 October 2019
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-019-04453-0
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)
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Cites Work
- Spectral synthesis in the Schwartz space of infinitely differentiable functions
- Subspaces of \(C^\infty\) invariant under the differentiation
- Derivation-invariant subspaces of \(C^{\infty}\)
- A new look at interpolation theory for entire functions of one variable
- On the closure of characters and the zeros of entire functions
- Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
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- Closed submodules in the module of entire functions of exponential type and polynomial growth on the real axis
- Approximation of subharmonic functions
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