On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components
From MaRDI portal
Publication:5067187
DOI10.13108/2021-13-4-3zbMath1499.30242OpenAlexW3213483326WikidataQ115515855 ScholiaQ115515855MaRDI QIDQ5067187
Natal'Ya Fairbakhovna Abuzyarova
Publication date: 1 April 2022
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/ufa586
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)
Cites Work
- Unnamed Item
- 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
- On shifts of the sequence of integers generating functions that are invertible in the sense of Ehrenpreis
- Representation of synthesizable differentiation-invariant subspaces of the Schwartz space
- Principal submodules in the module of entire functions, which is dual to the Schwarz space, and weak spectral synthesis in the Schwartz space
- Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
- On $2$-generateness of weakly localizable submodules in the module of entire functions of exponential type and polynomial growth on the real axis
This page was built for publication: On condition of representing a subspace in Schwartz space invariant with respect to differentiation as direct sum of its residual and exponential components
