Examples of Riesz bases of exponentials for multi-tiling domains and their duals

DOI10.1007/s44007-023-00078-7MaRDI QIDQ6130344

Karamatou Yacoubou Djima, Christina Frederick

Publication date: 2 April 2024

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

Vandermonde matricesPaley-Wiener spacesRiesz bases of exponentials

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Fourier series and coefficients in several variables (42B05) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
• An \(L^2\)-stability estimate for periodic nonuniform sampling in higher dimensions
• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• Frame spectral pairs and exponential bases
• A note on exponential Riesz bases
• Multi-tiling and Riesz bases
• Combining Riesz bases
• Finding duality for Riesz bases of exponentials on multi-tiles
• Riesz bases of exponentials on unbounded multi-tiles
• Multiple lattice tiles and Riesz bases of exponentials
• A Class of Nonharmonic Fourier Series
• Exact Interpolation of Band-Limited Functions
• A set with no Riesz basis of exponentials