Poincaré and Plancherel--Polya Inequalities in Harmonic Analysis on Weighted Combinatorial Graphs

DOI10.1137/120873674zbMath1307.05094arXiv1108.5637OpenAlexW1986880804MaRDI QIDQ5408606

Hartmut Führ, Isaac Z. Pesenson

Publication date: 10 April 2014

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5637

zbMATH Keywords

Paley-Wiener spacesHilbert framescombinatorial Laplace operatorPoincaré- and Plancherel-Pólya-type inequalities on weighted graphsShannon sampling on graphs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Graph algorithms (graph-theoretic aspects) (05C85) Nontrigonometric harmonic analysis (42C99) Sampling theory in information and communication theory (94A20) Signed and weighted graphs (05C22)

Related Items (9)

Approximation theorems on graphs ⋮ Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ Graph signal sampling and interpolation based on clusters and averages ⋮ Overview of the topical collection: harmonic analysis on combinatorial graphs ⋮ Local measurement and diffusion reconstruction for signals on a weighted graph ⋮ Geometric space-frequency analysis on manifolds ⋮ Numerical integration on graphs: Where to sample and how to weigh ⋮ Interpolating splines on graphs for data science applications ⋮ Sampling by Averages and Average Splines on Dirichlet Spaces and on Combinatorial Graphs

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