Riesz bases of exponentials for convex polytopes with symmetric faces

DOI10.4171/JEMS/1158zbMath1487.42072arXiv1907.04561MaRDI QIDQ2135446

Nir Lev, A. Debernardi

Publication date: 6 May 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04561

zbMATH Keywords

Riesz basesconvex polytopessampling and interpolation

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) Summability and bases in topological vector spaces (46A35) Sampling theory in information and communication theory (94A20)

Related Items (7)

Necessary conditions for interpolation by multivariate polynomials ⋮ On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces ⋮ A note on exponential Riesz bases ⋮ The spectrality of symmetric additive measures ⋮ Product-form Hadamard triples and its spectral self-similar measures ⋮ A set with no Riesz basis of exponentials ⋮ Exponential bases for partitions of intervals

Cites Work

• Combining Riesz bases in \(\mathbb{R}^d\)
• Complete interpolating sequences for Fourier transforms supported by convex symmetric pol\-y\-gons
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Multi-tiling and Riesz bases
• Combining Riesz bases
• Functions with Disconnected Spectrum
• Riesz bases, Meyer’s quasicrystals, and bounded remainder sets
• Convex Bodies The Brunn-MinkowskiTheory
• Multiple lattice tiles and Riesz bases of exponentials
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