Time-frequency mean and variance sequences of orthonormal bases

DOI10.1007/s00041-005-3082-5zbMath1087.42003OpenAlexW1992545030MaRDI QIDQ818501

Alexander M. Powell

Publication date: 21 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00041-005-3082-5

zbMATH Keywords

uncertaintytime-frequency analysisprolate-spheroidal wave function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Application of orthogonal and other special functions (94A11)

Related Items (9)

Amrein-Berthier and Logvinenko-Sereda uncertainty principles for the Hankel-Stockwell transform ⋮ Uncertainty principles for orthonormal sequences ⋮ Uncertainty principles for the Hankel-Stockwell transform ⋮ Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization ⋮ Phase space localization of orthonormal sequences in \(L_\alpha^2(\mathbb{R}_+)\) ⋮ Uncertainty principles for the Hankel-Gabor transform ⋮ An uncertainty principle for finite frames ⋮ Time-frequency concentration of generating systems ⋮ SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING

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