Finding duality for Riesz bases of exponentials on multi-tiles
DOI10.1016/j.acha.2020.10.006zbMath1464.42024arXiv1910.09257OpenAlexW3094868392MaRDI QIDQ2659731
Kasso A. Okoudjou, Christina Frederick
Publication date: 26 March 2021
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09257
biorthogonal systemsVandermonde systemsRiesz bases of exponentialsframes of exponentialsmulti-tiling
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) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)
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Cites Work
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- The sampling theorem for functions with limited multi-band spectrum. I
- Complex Hadamard matrices and the spectral set conjecture
- A density criterion for frames of complex exponentials
- Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
- Sampling of bandlimited functions on unions of shifted lattices
- An \(L^2\)-stability estimate for periodic nonuniform sampling in higher dimensions
- Commuting self-adjoint partial differential operators and a group theoretic problem
- On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
- On the smallest singular value of multivariate Vandermonde matrices with clustered nodes
- Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices
- Multi-tiling and Riesz bases
- Combining Riesz bases
- On perfect conditioning of Vandermonde matrices on the unit circle
- A Generalized Sampling Theorem for Locally Compact Abelian Groups
- Riesz bases of exponentials on unbounded multi-tiles
- Fuglede’s conjecture fails in dimension 4
- Tiles with no spectra
- Multiple lattice tiles and Riesz bases of exponentials
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