Uncertainty Principles for The Quaternion Linear Canonical Transform
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
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
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
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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
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