Riesz bases of exponentials on multiband spectra

DOI10.1090/S0002-9939-2012-11138-4zbMath1315.42019arXiv1101.3894MaRDI QIDQ2845737

Nir Lev

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3894

zbMATH Keywords

Riesz basesquasicrystalsmultiband signals

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (11)

Quasicrystals and Control Theory ⋮ Stability of Riesz bases ⋮ Examples of exponential bases on union of intervals ⋮ Universal sampling, quasicrystals and bounded remainder sets ⋮ Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions ⋮ Riesz bases, Meyer’s quasicrystals, and bounded remainder sets ⋮ Multi-tiling and Riesz bases ⋮ Exponential Riesz bases, discrepancy of irrational rotations and BMO ⋮ Combining Riesz bases ⋮ Model Sets and New Versions of Shannon Sampling Theorem ⋮ Exponential bases on two dimensional trapezoids

Cites Work

• Unnamed Item
• Exponential Riesz bases, discrepancy of irrational rotations and BMO
• The sampling theorem for functions with limited multi-band spectrum. I
• Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
• Quasicrystals are sets of stable sampling
• A simple construction of exponential bases in L² of the union of several intervals
• Sampling and interpolation for a lacunary spectrum
• Simple quasicrystals are sets of stable sampling

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