Quaternion Fourier transform on quaternion fields and generalizations
EMS Hitzer - Advances in Applied Clifford Algebras, 2007 - Springer
We treat the quaternionic Fourier transform (QFT) applied to quaternion fields and
investigate QFT properties useful for applications. Different forms of the QFT lead us to …
investigate QFT properties useful for applications. Different forms of the QFT lead us to …
Uncertainty principles for the quaternion linear canonical transform
A Achak, A Abouelaz, R Daher, N Safouane - Advances in Applied Clifford …, 2019 - Springer
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 …
uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this …
Heisenberg's and Hardy's uncertainty principles in real Clifford algebras
J Rim - Integral Transforms and Special Functions, 2018 - Taylor & Francis
Recently, many surveys are devoted to study the Clifford-Fourier transform (CFT). Dealing
with the real Clifford-Fourier transform introduced by Hitzer [The Clifford Fourier transform in …
with the real Clifford-Fourier transform introduced by Hitzer [The Clifford Fourier transform in …
Donoho–Stark's uncertainty principle for the quaternion Fourier transform
A Abouelaz, A Achak, R Daher, N Safouane - Boletín de la Sociedad …, 2020 - Springer
Donoho–Stark’s uncertainty principle for the quaternion Fourier transform | Boletín de la
Sociedad Matemática Mexicana Skip to main content SpringerLink Account Menu Find a …
Sociedad Matemática Mexicana Skip to main content SpringerLink Account Menu Find a …
Uncertainty principle for the two-sided quaternion windowed Fourier transform
Full article: Uncertainty principle for the two-sided quaternion windowed Fourier transform Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
Uncertainty principle for the two sided quaternion windowed Fourier transform
In this paper, we study the quaternion windowed Fourier transform and prove the Beckner's
uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg …
uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg …
A variation on inequality for quaternion Fourier transform, modified convolution and correlation theorems for general quaternion linear canonical transform
M Bahri, SA Abdul Karim - Symmetry, 2022 - mdpi.com
The quaternion linear canonical transform is an important tool in applied mathematics and it
is closely related to the quaternion Fourier transform. In this work, using a symmetric form of …
is closely related to the quaternion Fourier transform. In this work, using a symmetric form of …
Quaternion Fourier transform and generalized Lipschitz classes
EM Loualid, A Elgargati, R Daher - Advances in Applied Clifford Algebras, 2021 - Springer
For functions f ∈ L^ 1\left (R^ 2, H\right) f∈ L 1 R 2, H with the quaternion Fourier transform
(QFT) ff^ we give necessary and sufficient conditions in terms of ff^ to ensure that f belongs …
(QFT) ff^ we give necessary and sufficient conditions in terms of ff^ to ensure that f belongs …
On one-dimensional quaternion Fourier transform
There have been several efforts in the literature to extend the traditional Fourier
transformation by using the quaternion algebra. This paper presents the one-dimensional …
transformation by using the quaternion algebra. This paper presents the one-dimensional …
A variation on uncertainty principles for quaternion linear canonical transform
K Hleili - Advances in Applied Clifford Algebras, 2021 - Springer
In this paper we prove Clarkson-type and Nash-type inequalities in the (right-sided)
Quaternion Linear Canonical transform (QLCT) for L^ p L p-functions. Next, we show …
Quaternion Linear Canonical transform (QLCT) for L^ p L p-functions. Next, we show …