Wigner Measures in the Discrete Setting: High-Frequency Analysis of Sampling and Reconstruction Operators

DOI10.1137/S0036141003431529zbMath1070.42022arXivmath/0307313OpenAlexW1989597473MaRDI QIDQ4652476

Fabricio Macià

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307313

zbMATH Keywords

weak convergenceweak compactnessshift-invariant spacesWigner measuressampling and reconstructionhigh-frequency analysisconcentration and oscillation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (6)

Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids ⋮ Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach ⋮ Numerical experiments on the modulation theory for the nonlinear atomic chain ⋮ Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms ⋮ Kinetic limit for wave propagation in a random medium ⋮ Complex intertwinings and quantification of discrete free motions

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