Qualitative Uncertainty Principles for the Nonisotropic Angular Stockwell Transforms
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DOI: 10.1002/mma.10731
Abstract: The nonisotropic angular Stockwell transform (NAST) employs an angular, scalable and localized window function, to effectively capture directional characteristics and nonisotropic features presented in the signal. In this paper, our main contributions are to derive… read more here.
Keywords: angular stockwell; uncertainty principles; qualitative uncertainty; uncertainty ... See more keywords
Uncertainty Principles for Rényi Entropy Under Continuous and Discrete Quaternion Fourier Transforms
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DOI: 10.1002/mma.70265
Abstract: We first prove the sharp Hausdorff–Young inequality for the right‐sided continuous quaternion Fourier transform (RCQFT), and the Hausdorff–Young inequalities for the discrete quaternion Fourier transform (DQFT) and for the quaternion Fourier series (QFS), respectively. Next,… read more here.
Keywords: uncertainty principles; quaternion fourier; nyi entropy; discrete quaternion ... See more keywords
Uncertainty Principles for The Quaternion Linear Canonical Transform
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DOI: 10.1007/s00006-019-1020-x
Abstract: The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential… read more here.
Keywords: linear canonical; uncertainty; quaternion linear; canonical transform ... See more keywords
Hardy inequalities and uncertainty principles in the presence of a black hole
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DOI: 10.1007/s00013-024-02082-x
Abstract: In this paper, we establish Hardy and Heisenberg uncertainty-type inequalities for the exterior of a Schwarzschild black hole. The weights that appear in both inequalities are tailored to fit the geometry, and can both be… read more here.
Keywords: black hole; hole; uncertainty principles; hardy inequalities ... See more keywords
Polar Wavelet Transform and the Associated Uncertainty Principles
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DOI: 10.1007/s10773-018-3703-9
Abstract: The polar wavelet transform– a generalized form of the classical wavelet transform has been extensively used in science and engineering for finding directional representations of signals in higher dimensions. The aim of this paper is… read more here.
Keywords: wavelet; wavelet transform; uncertainty principles; polar wavelet ... See more keywords
Uncertainty principles for spherical mean $$L^2$$L2-multiplier operators
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-017-0197-9
Abstract: We study the spherical mean $$L^2$$L2-multiplier operators, and for these operators we establish the Heisenberg–Pauli–Weyl uncertainty principle and Donoho–Stark’s uncertainty principle. read more here.
Keywords: uncertainty; principles spherical; spherical mean; mean multiplier ... See more keywords
Uncertainty principles for the offset linear canonical transform
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-021-00418-7
Abstract: In this paper, we extend some different uncertainty principles (UPs), including Miyachi’s UP and Morgan’s UP for the offset linear canonical transform (OLCT) which provides a more general framework for a number of well-known linear… read more here.
Keywords: linear canonical; canonical transform; offset linear; uncertainty principles ... See more keywords
The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting
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DOI: 10.1515/dema-2024-0077
Abstract: Abstract In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.… read more here.
Keywords: quadratic phase; transform; qpst; uncertainty principles ... See more keywords
Donoho–Stark and Price uncertainty principles for a class of q-integral transforms with bounded kernels
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DOI: 10.1515/forum-2023-0244
Abstract: Abstract We consider a very global q-integral transform, essentially characterized by having a bounded kernel and satisfying a set of natural and useful properties for the realization of applications. The main ambition of this work… read more here.
Keywords: transform; donoho stark; fourier transform; uncertainty principles ... See more keywords
Dispersion’s Uncertainty Principles Associated with the Directional Short-Time Fourier Transform
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DOI: 10.1556/012.2020.57.4.1479
Abstract: 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… read more here.
Keywords: time fourier; uncertainty; short time; directional short ... See more keywords
Deformed Wavelet Transform and Related Uncertainty Principles
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DOI: 10.3390/sym15030675
Abstract: 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,… read more here.
Keywords: deformed wavelet; transform; uncertainty; wavelet transform ... See more keywords