Variational splines and Paley-Wiener spaces on Combinatorial graphs
From MaRDI portal
Publication:734052
DOI10.1007/s00365-007-9004-9zbMath1180.42026arXiv1111.5897OpenAlexW2014368295MaRDI QIDQ734052
Publication date: 19 October 2009
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5897
compressed sensinggeneralized Fourier transformdiscrete Laplace transformvariational splinecombinatorial graph
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Spline approximation (41A15) Graph theory (05C99) Nontrigonometric harmonic analysis (42C99) Sampling theory in information and communication theory (94A20)
Related Items (18)
Approximation theorems on graphs ⋮ Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ Sobolev orthogonal polynomials on the Sierpinski gasket ⋮ Graph signal sampling and interpolation based on clusters and averages ⋮ Half sampling on bipartite graphs ⋮ Analysis vs synthesis with structure -- an investigation of union of subspace models on graphs ⋮ Graph signal interpolation with positive definite graph basis functions ⋮ Gabor-type frames for signal processing on graphs ⋮ Overview of the topical collection: harmonic analysis on combinatorial graphs ⋮ Sampling, filtering and sparse approximations on combinatorial graphs ⋮ Geometric space-frequency analysis on manifolds ⋮ Eigenmaps and minimal and bandlimited immersions of graphs into Euclidean spaces ⋮ Removable sets and approximation of eigenvalues and eigenfunctions on combinatorial graphs ⋮ Partition of unity methods for signal processing on graphs ⋮ Interpolating splines on graphs for data science applications ⋮ Splines and wavelets on circulant graphs ⋮ Sampling by Averages and Average Splines on Dirichlet Spaces and on Combinatorial Graphs ⋮ Kernel-based models for influence maximization on graphs based on Gaussian process variance minimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational splines on Riemannian manifolds with applications to integral geometry
- Analysis of band-limited functions on quantum graphs
- Sampling of Paley-Wiener functions on stratified groups
- A discrete theory of irregular sampling
- The recovery of irregularly sampled band limited functions via tempered splines
- Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds
- Discrete analogues in harmonic analysis: spherical averages
- Abstract harmonic analysis of continuous wavelet transforms
- Fourier frames
- Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
- Sampling theorems on locally compact groups from oscillation estimates
- On sampling formulas on symmetric spaces
- Analogues of sampling theorems for some homogeneous spaces
- Necessary density conditions for sampling an interpolation of certain entire functions
- On the closure of characters and the zeros of entire functions
- On the convergence of interpolating periodic spline functions of high degree
- Polynomial splines and eigenvalue approximations on quantum graphs
- Shannon sampling. II: Connections to learning theory
- Discrete analogs of inequalities of Wirtinger
- Erratum to ‘‘Sampling in Paley-Wiener spaces on combinatorial graphs”
- A reconstruction formula for band limited functions in $L_2(R^d)$
- A sampling theorem on homogeneous manifolds
- Weighted Paley-Wiener spaces
- Shannon sampling and function reconstruction from point values
- Band limited functions on quantum graphs
- Frames for spaces of Paley-Wiener functions on Riemannian manifolds
- A Reconstruction Method for Band-Limited Signals on the Hyperbolic Plane
- Deconvolution of band limited functions on non-compact symmetric spaces
- SAMPLING SEQUENCES OF COMPACTLY SUPPORTED DISTRIBUTIONS IN Lp(R)
- A Class of Nonharmonic Fourier Series
This page was built for publication: Variational splines and Paley-Wiener spaces on Combinatorial graphs
