Polar wavelet transform and the associated uncertainty principles

DOI10.1007/s10773-018-3703-9zbMath1394.42031OpenAlexW2790595307WikidataQ130198421 ScholiaQ130198421MaRDI QIDQ726050

Azhar Y. Tantary, Firdous Ahmad Shah

Publication date: 2 August 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-018-3703-9

zbMATH Keywords

uncertainty principlepolar Fourier transformpolar wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Probabilistic methods for one variable harmonic analysis (42A61)

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Cites Work

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• Wavelet transform of even- and odd-coherent states
• Heisenberg inequalities for wavelet states
• The uncertainty principle: A mathematical survey
• The affine uncertainty principle in one and two dimensions
• Polar wavelet transforms and localization operators
• The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
• Wavelet Transforms and Their Applications
• Pitt's Inequality and the Uncertainty Principle

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