An uncertainty principle for the windowed Bochner-Fourier transform with the complex-valued window function

DOI10.1515/JAA-2023-0120MaRDI QIDQ6654646

M. I. Yaremenko

Publication date: 20 December 2024

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

uncertainty principlewindowed Fourier transformlocally compact groupBochner integralHeisenberg inequalityBochner spaceHardy group

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Vector-valued set functions, measures and integrals (28B05) Compactness in Banach (or normed) spaces (46B50) Group- or semigroup-valued set functions, measures and integrals (28B10)

Cites Work

• Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle
• Noncommutative uncertainty principles
• Hardy's uncertainty principle on semisimple groups
• Uncertainty principles for locally compact quantum groups
• The norm of the Fourier transform on finite abelian groups
• Heisenberg uncertainty inequality for Gabor transform on nilpotent Lie groups
• Gelfand pairs over hypergroup joins
• Uncertainty principles for compact groups
• Uncertainty Principles and Signal Recovery
• A HAUSDORFF–YOUNG INEQUALITY FOR LOCALLY COMPACT QUANTUM GROUPS
• An uncertainty principle for unimodular quantum groups
• The Uncertainty Principle on Groups
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• The $L^p$-Fourier transform on locally compact quantum groups
• Young's inequality for locally compact quantum groups
• Representing Multipliers of the Fourier Algebra on Non-Commutative L^p Spaces
• Uncertainty principles for Kac algebras

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