Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms
DOI10.1007/s43037-023-00294-xOpenAlexW4386245342MaRDI QIDQ6048903
Guangwei Qu, Yasong Chen, Wei-Shih Du, Junjian Zhao
Publication date: 15 September 2023
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43037-023-00294-x
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Hörmander-Mihlin theorem for mixed-norm Lebesgue spaces
- Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces
- Estimates for translation invariant operators in \(L^p\) spaces
- The spaces \(L^ p\), with mixed norm
- Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
- A practical guide to splines
- The embedding theorem for Sobolev spaces with mixed norm for limit exponents
- Wavelets, approximation, and statistical applications
- Anisotropic mixed-norm Hardy spaces
- Approximation by multiinteger translates of functions having global support
- Interpolations of mixed-norm function spaces
- Product \((\alpha_1, \alpha_2)\)-modulation spaces
- Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
- Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
- Generalized sampling in shift-invariant spaces with multiple stable generators
- A sampling theory for non-decaying signals
- Approximation of non-decaying signals from shift-invariant subspaces
- Wavelet optimal estimations for a density with some additive noises
- A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms
- Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces \(L^{p, q}(\mathbb{R}^{d + 1})\)
- Approximation by quasi-projection operators in Besov spaces
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces
- Convolution sampling and reconstruction of signals in a reproducing kernel subspace
- Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- On Function Spaces with Mixed Norms — A Survey
- Classical Fourier Analysis
- GENERALIZED IRREGULAR SAMPLING IN SHIFT-INVARIANT SPACES
- Orthonormal bases of compactly supported wavelets
- The Shannon sampling theorem—Its various extensions and applications: A tutorial review
- B-spline signal processing. I. Theory
- Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
- Nonuniform sampling of bandlimited signals with polynomial growth on the real axis
- Sampling-50 years after Shannon
- Discrete decomposition of homogeneous mixed-norm Besov spaces
- Dual spaces of anisotropic mixed-norm Hardy spaces
- Average sampling theorem
- On the trace problem for Lizorkin–Triebel spaces with mixed norms
- A sampling theory for non-decaying signals in mixed Lebesgue spaces
This page was built for publication: Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms