Rank-deficient submatrices of Kronecker products of Fourier matrices

DOI10.1016/j.laa.2007.05.009zbMath1124.42008OpenAlexW2047369846MaRDI QIDQ996292

Steven Delvaux, Marc Van Barel

Publication date: 14 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.009

zbMATH Keywords

uncertainty principle

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Harmonic analysis in one variable (42A99)

Related Items

Spectral properties of sums of certain Kronecker products ⋮ On the Kronecker products and their applications ⋮ Rank-deficient submatrices of Fourier matrices ⋮ On uncertainty principles in the finite dimensional setting

Cites Work

• Rank-deficient submatrices of Fourier matrices
• Completing a matrix when certain entries of its inverse are specified
• Kronecker-product approximations for some function-related matrices.
• Tensor properties of multilevel Toeplitz and related matrices
• An uncertainty inequality for finite Abelian groups.
• Uncertainty Principles and Signal Recovery
• The Uncertainty Principle on Groups
• A new inequality in discrete fourier theory
• Generalized Vandermonde Determinants and Roots of Unity of Prime Order
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