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Relevant bibliographies by topics / Uncertainty principles

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Journal articles

Academic literature on the topic 'Uncertainty principles'

Author: Grafiati

Published: 6 September 2023

Last updated: 12 June 2025

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Journal articles on the topic "Uncertainty principles"

1

McBride, Stephanie, Catherine Fitzgerald, Brian Hand, Michael Cronin, and Mick Wilson. "Uncertainty Principles." Circa, no. 96 (2001): 15. http://dx.doi.org/10.2307/25563696.

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2

Gross, Michael. "Uncertainty principles." Current Biology 19, no. 18 (2009): R831—R832. http://dx.doi.org/10.1016/j.cub.2009.09.011.

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3

Jiang, Chunlan, Zhengwei Liu, and Jinsong Wu. "Noncommutative uncertainty principles." Journal of Functional Analysis 270, no. 1 (2016): 264–311. http://dx.doi.org/10.1016/j.jfa.2015.08.007.

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4

Hkimi, Siwar, Hatem Mejjaoli, and Slim Omri. "Dispersion’s Uncertainty Principles Associated with the Directional Short-Time Fourier Transform." Studia Scientiarum Mathematicarum Hungarica 57, no. 4 (2020): 508–40. http://dx.doi.org/10.1556/012.2020.57.4.1479.

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We introduce the directional short-time Fourier transform for which we prove a new Plancherel’s formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle, Faris–Price uncertainty principles and Donoho–Stark’s uncertainty principles.

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5

Hleili, Khaled. "A variety of uncertainty principles for the Hankel-Stockwell transform." Open Journal of Mathematical Analysis 5, no. 1 (2021): 22–34. http://dx.doi.org/10.30538/psrp-oma2021.0079.

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In this work, we establish \(L^p\) local uncertainty principle for the Hankel-Stockwell transform and we deduce \(L^p\) version of Heisenberg-Pauli-Weyl uncertainty principle. Next, By combining these principles and the techniques of Donoho-Stark we present uncertainty principles of concentration type in the \(L^p\) theory, when \(1< p\leqslant2\). Finally, Pitt's inequality and Beckner's uncertainty principle are proved for this transform.

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6

Bahri, Mawardi, and Ryuichi Ashino. "A Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms." Abstract and Applied Analysis 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/3795120.

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The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra. First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle can be obtained using the component-wise QFT uncertainty principle. Based on this method, the directional QFT uncertainty principle using representation of polar coordinate form is easily derived. We derive a variation on uncertainty principle related to the QFT. We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on uncertainty principle related to the CQWT. Finally, we apply the extended uncertainty principles and properties of the CQWT to establish logarithmic uncertainty principles related to generalized transform.

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7

Fei, Minggang, Yubin Pan, and Yuan Xu. "Some shaper uncertainty principles for multivector-valued functions." International Journal of Wavelets, Multiresolution and Information Processing 14, no. 06 (2016): 1650043. http://dx.doi.org/10.1142/s0219691316500430.

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The Heisenberg uncertainty principle and the uncertainty principle for self-adjoint operators have been known and applied for decades. In this paper, in the framework of Clifford algebra, we establish a stronger Heisenberg–Pauli–Wely type uncertainty principle for the Fourier transform of multivector-valued functions, which generalizes the recent results about uncertainty principles of Clifford–Fourier transform. At the end, we consider another stronger uncertainty principle for the Dunkl transform of multivector-valued functions.

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8

Ghobber, Saifallah, and Hatem Mejjaoli. "Deformed Wavelet Transform and Related Uncertainty Principles." Symmetry 15, no. 3 (2023): 675. http://dx.doi.org/10.3390/sym15030675.

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The deformed wavelet transform is a new addition to the class of wavelet transforms that heavily rely on a pair of generalized translation and dilation operators governed by the well-known Dunkl transform. In this study, we adapt the symmetrical properties of the Dunkl Laplacian operator to prove a class of quantitative uncertainty principles associated with the deformed wavelet transform, including Heisenberg’s uncertainty principle, the Benedick–Amrein–Berthier uncertainty principle, and the logarithmic uncertainty inequalities. Moreover, using the symmetry between a square integrable function and its Dunkl transform, we establish certain local-type uncertainty principles involving the mean dispersion theorems for the deformed wavelet transform.

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9

Bhat, Mohammad Younus, Aamir Hamid Dar, Irfan Nurhidayat, and Sandra Pinelas. "Uncertainty Principles for the Two-Sided Quaternion Windowed Quadratic-Phase Fourier Transform." Symmetry 14, no. 12 (2022): 2650. http://dx.doi.org/10.3390/sym14122650.

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A recent addition to the class of integral transforms is the quaternion quadratic-phase Fourier transform (Q-QPFT), which generalizes various signal and image processing tools. However, this transform is insufficient for addressing the quadratic-phase spectrum of non-stationary signals in the quaternion domain. To address this problem, we, in this paper, study the (two sided) quaternion windowed quadratic-phase Fourier transform (QWQPFT) and investigate the uncertainty principles associated with the QWQPFT. We first propose the definition of QWQPFT and establish its relation with quaternion Fourier transform (QFT); then, we investigate several properties of QWQPFT which includes inversion and the Plancherel theorem. Moreover, we study different kinds of uncertainty principles for QWQPFT such as Hardy’s uncertainty principle, Beurling’s uncertainty principle, Donoho–Stark’s uncertainty principle, the logarithmic uncertainty principle, the local uncertainty principle, and Pitt’s inequality.

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10

Stark, Hans-Georg, Florian Lieb, and Daniel Lantzberg. "Variance based uncertainty principles and minimum uncertainty samplings." Applied Mathematics Letters 26, no. 2 (2013): 189–93. http://dx.doi.org/10.1016/j.aml.2012.08.009.

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