The Heisenberg inequality for the discrete Fourier transform.

DOI10.1016/S1063-5203(03)00033-2zbMath1053.42009MaRDI QIDQ1413116

F. Alberto Gruenbaum

Publication date: 16 November 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items

Discrete uncertainty principles and virial identities, An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform, Frame multiplication theory and a vector-valued DFT and ambiguity function, Graph theoretic uncertainty and feasibility, An uncertainty inequality for Fourier-Dunkl series

Cites Work

• The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
• Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
• Uncertainty Principles and Signal Recovery
• The Uncertainty Principle on Groups
• Some comments on Fourier analysis, uncertainty and modeling
• Tomographic reconstruction with arbitrary directions
• Sampling Schemes for Fourier Transform Reconstruction
• Hamiltonian group actions and dynamical systems of calogero type
• Time‐band limiting and the bispectral problem
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