Sampling by Averages and Average Splines on Dirichlet Spaces and on Combinatorial Graphs

DOI10.1007/978-3-030-69637-5_14zbMath1481.94074arXiv1901.08726OpenAlexW2996282904MaRDI QIDQ5020139

Isaac Z. Pesenson

Publication date: 4 January 2022

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08726

zbMATH Keywords

global Poincaré inequalitystrictly local regular Dirichlet spaces

Mathematics Subject Classification ID

Applications of graph theory (05C90) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

Related Items (2)

Overview of the topical collection: harmonic analysis on combinatorial graphs ⋮ Partition of unity methods for signal processing on graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sampling, filtering and sparse approximations on combinatorial graphs
• Variational splines and Paley-Wiener spaces on Combinatorial graphs
• Dirichlet forms and analysis on Wiener space
• Sampling of Paley-Wiener functions on stratified groups
• Dirichlet forms and symmetric Markov processes
• Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds
• Foundations of time-frequency analysis
• Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
• Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
• Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Sampling in Paley-Wiener spaces on combinatorial graphs
• Extensions of Hardy spaces and their use in analysis
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
• A sampling theorem on homogeneous manifolds
• Local-Set-Based Graph Signal Reconstruction
• Subgraph-Based Filterbanks for Graph Signals
• Poincaré and Plancherel--Polya Inequalities in Harmonic Analysis on Weighted Combinatorial Graphs
• A Class of Nonharmonic Fourier Series
• Sampling of band-limited vectors

This page was built for publication: Sampling by Averages and Average Splines on Dirichlet Spaces and on Combinatorial Graphs