Sampling via the Banach Gelfand triple
From MaRDI portal
Publication:6608652
DOI10.1007/978-3-031-41130-4_10zbMATH Open1547.9421MaRDI QIDQ6608652
Publication date: 20 September 2024
Dirac combPoisson formulaShannon sampling theoremBanach Gelfand triplemild distributionsBanach spaces of tempered distributions
Measures of information, entropy (94A17) Sampling theory in information and communication theory (94A20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
- Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers
- On pseudodifferential operators with symbols in generalized Shubin classes and an application to Landau-Weyl operators
- Quasi-interpolation in the Fourier algebra
- On approximation properties of generalized Kantorovich-type sampling operators
- \(L^p\)-approximation by multivariate Baskakov-Kantorovich operators
- On a new Segal algebra
- On the Schwartz-Bruhat space and the Paley-Wiener theorem for locally compact Abelian groups
- A characterization of Wiener's algebra on locally compact groups
- Foundations of time-frequency analysis
- On a (no longer) new Segal algebra: a review of the Feichtinger algebra
- Approximation of the Fourier transform and the dual Gabor window
- Error estimates for irregular sampling of band-limited functions on a locally compact abelian group
- Four particular cases of the Fourier transform
- On the duality of discrete and periodic functions
- Approximation by multivariate Kantorovich-Kotelnikov operators
- On the duality of regular and local functions
- The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
- Quasimeasures and operators commuting with convolution
- On the \(L^ p\) theory of cardinal series
- The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley–Wiener theorem for bandlimited signals – their interconnections
- Five short stories about the cardinal series
- Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
- The Shannon sampling theorem—Its various extensions and applications: A tutorial review
- Product-Convolution Operators and Mixed-Norm Spaces
- Fourier analysis of unbounded measures on locally compact abelian groups
- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems
- On weakly almost periodic measures
- Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property
- Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections
- Almost Periodic Measures and their Fourier Transforms
- Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing
- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups
- Fourier transforms of unbounded measures
- An uncertainty principle related to the Poisson summation formula
- An introduction to frames and Riesz bases
This page was built for publication: Sampling via the Banach Gelfand triple