Limiting empirical singular value distribution of restrictions of discrete Fourier transform matrices
DOI10.1007/s00041-010-9156-zzbMath1228.60014arXiv1003.1021OpenAlexW2059825003MaRDI QIDQ636820
Publication date: 30 August 2011
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1021
singular valueslimiting distributionrestrictions of Fourier matricesrestrictions of unitary matrices
Random matrices (probabilistic aspects) (60B20) Numerical methods for discrete and fast Fourier transforms (65T50) Probabilistic methods in Banach space theory (46B09) Random matrices (algebraic aspects) (15B52) Probabilistic methods for one variable harmonic analysis (42A61) Asymptotic theory of Banach spaces (46B06)
Related Items (8)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- On the linear independence of spikes and sines
- Characteristic vectors of bordered matrices with infinite dimensions
- On the distribution of the roots of certain symmetric matrices
- On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
- Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
- A limit theorem for the norm of random matrices
- An uncertainty principle for cyclic groups of prime order
- The Littlewood-Offord problem and invertibility of random matrices
- Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
- NORMS OF RANDOM MATRICES AND WIDTHS OF FINITE-DIMENSIONAL SETS
- An Introduction to Random Matrices
- Spectral Analysis of Networks with Random Topologies
- Truncations of random unitary matrices
- Capacity of Channels With Frequency-Selective and Time-Selective Fading
- Random Matrix Theory and Wireless Communications
This page was built for publication: Limiting empirical singular value distribution of restrictions of discrete Fourier transform matrices