On the existence of complex Hadamard submatrices of the Fourier matrices

DOI10.1515/dema-2019-0001zbMath1408.15014OpenAlexW2903682023MaRDI QIDQ1736438

R. Alexander Glickfield, Bailey Madison Bond, John E. Herr

Publication date: 26 March 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0001

zbMATH Keywords

eigenvaluespectrumtracediscrete Fourier transformHadamard matrixFourier matrix

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Boolean and Hadamard matrices (15B34)

Related Items (1)

Identifying complex Hadamard submatrices of the Fourier matrices via primitive sets

Cites Work

• On the universal tiling conjecture in dimension one
• Spectral properties of small Hadamard matrices
• Dense analytic subspaces in fractal \(L^2\)-spaces
• An upper bound for the length of a finite-dimensional algebra
• On vanishing sums of roots of unity.
• On quaternary complex Hadamard matrices of small orders
• A Concise Guide to Complex Hadamard Matrices

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