Analysis of band-limited functions on quantum graphs

DOI10.1016/j.acha.2006.02.003zbMath1103.94011OpenAlexW2079244813MaRDI QIDQ849683

Isaac Z. Pesenson

Publication date: 31 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.acha.2006.02.003

zbMATH Keywords

splinesHamiltoniansquantum graphsband-limited functionsHilbert framesPlancherel-Polya inequalities

Mathematics Subject Classification ID

Quantum computation (81P68) General theory of ordinary differential operators (47E05) Graph theory (05C99) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Inequalities involving derivatives and differential and integral operators (26D10) Sampling theory in information and communication theory (94A20)

Related Items

Convergence and Regularization of Sampling Series ⋮ Sampling in Paley-Wiener spaces on combinatorial graphs ⋮ Geometric space-frequency analysis on manifolds ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ A Sheaf-Theoretic Perspective on Sampling ⋮ Variational splines and Paley-Wiener spaces on Combinatorial graphs ⋮ Harmonic analysis for graph refinements and the continuous graph FFT

Cites Work

• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
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