An analogue of Slepian vectors on Boolean hypercubes

DOI10.1007/s00041-018-09654-wzbMath1416.94027OpenAlexW2901480070WikidataQ128908369 ScholiaQ128908369MaRDI QIDQ2003623

Joseph D. Lakey, Jeffrey A. Hogan

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-018-09654-w

zbMATH Keywords

Boolean cubetime and band limitingSlepian sequence

Mathematics Subject Classification ID

Related Items (3)

Spatio-spectral limiting on Boolean cubes ⋮ Spatio-spectral limiting on discrete tori: adjacency invariant spaces ⋮ Spatio–Spectral Limiting on Redundant Cubes: A Case Study

Uses Software

• Algorithm 840

Cites Work

• Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• Eigenvalue distribution of time and frequency limiting
• Prolate spheroidal wavefunctions, quadrature and interpolation
• Eigenvectors of a Toeplitz Matrix: Discrete Version of the Prolate Spheroidal Wave Functions
• On the Periodic Discrete Prolate Spheroidal Sequences
• Differential operators which commute with characteristic functions with applications to a lucky accident
• On the density of phase-space expansions
• Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• Unnamed Item

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