Daubechies' time-frequency localization operator on Cantor type sets. I

DOI10.1007/S00041-020-09751-9OpenAlexW3034638565MaRDI QIDQ785659

Helge Knutsen

Publication date: 7 August 2020

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

Full work available at URL: https://arxiv.org/abs/2104.10976

zbMATH Keywords

Cantor setDaubechies' localization operatorfractal uncertainty principle

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Eigenvalue problems for linear operators (47A75) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

The norm of time-frequency and wavelet localization operators ⋮ A fractal uncertainty principle for Bergman spaces and analytic wavelets ⋮ A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers ⋮ Daubechies' time-frequency localization operator on Cantor type sets II.

Cites Work

• Spectral gaps, additive energy, and a fractal uncertainty principle
• The uncertainty principle: A mathematical survey
• Foundations of time-frequency analysis
• Dolgopyat's method and the fractal uncertainty principle
• Spectral gaps without the pressure condition
• Sharp constants in the Paneyah-Logvinenko-Sereda theorem
• Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles
• Time-frequency localization operators: a geometric phase space approach
• The standard Cantor function is subadditive
• Harmonic Analysis in Phase Space. (AM-122)
• An introduction to fractal uncertainty principle
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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