Inequalities in time-frequency analysis

DOI10.7153/mia-2023-26-25zbMath1530.42009OpenAlexW4372059083MaRDI QIDQ6180067

Saifallah Ghobber, Slim Omri, Ons Oueslati

Publication date: 18 January 2024

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2023-26-25

zbMATH Keywords

uncertainty principleSobolev inequalityshort-time Fourier transformtime-frequency analysisNash's inequalityPitt's inequalityBeckner's inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\)
• Annihilating sets for the short time Fourier transform
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• On support properties of Lsup(p)-functions and their Fourier transforms
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Foundations of time-frequency analysis
• Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function
• Advances in Gabor analysis
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Logvinenko-Sereda type theorems for the short time Fourier transform
• Sharp Shannon's and logarithmic Sobolev inequalities for the Hankel transform
• Nazarov's uncertainty principles in higher dimension
• Some results related to the Logvinenko-Sereda theorem
• Time-frequency localization for the short time Fourier transform
• Uncertainty principles involvingL¹-norms for the Dunkl transform
• Logarithmic uncertainty principle for the Hankel transform
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Continuity of Solutions of Parabolic and Elliptic Equations
• Classical Fourier Analysis
• On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality
• Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle
• Pitt's Inequality and the Uncertainty Principle
• Uncertainty principles associated with the directional short-time Fourier transform
• Pitt's inequalities for the Dunkl transform on ℝ^d
• On a theorem of functional analysis
• Pitt's inequality with sharp convolution estimates

This page was built for publication: Inequalities in time-frequency analysis