Results 1 to 10 of about 786,870 (18)
Quantum Fourier transform revisited [PDF]
, 2020 The fast Fourier transform (FFT) is one of the most successful numerical algorithms of the 20th century and has found numerous applications in many branches of computational science and engineering.
Bullock SS +5 more
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Clifford algebras, Fourier transforms and quantum mechanics [PDF]
, 2012 In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
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The Clifford-Fourier integral kernel in even dimensional Euclidean space [PDF]
, 2010 Recently, we devised a promising new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier–Bessel transform.
Brackx, Fred +2 more
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The cylindrical Fourier transform [PDF]
, 2010 In this paper we devise a so-called cylindrical Fourier transform within the Clifford analysis context. The idea is the following: for a fixed vector in the image space the level surfaces of the traditional Fourier kernel are planes perpendicular to that
A. Erdélyi +5 more
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The class of Clifford-Fourier transforms [PDF]
, 2011 Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
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On the Clifford-Fourier transform [PDF]
, 2010 For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i \pi}{2} \Gamma_{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform ...
Bie, Hendrik De, Yuan Xu
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, 2017 We consider the problem of computing the Fourier transform of high-dimensional vectors, distributedly over a cluster of machines consisting of a master node and multiple worker nodes, where the worker nodes can only store and process a fraction of the ...
Avestimehr, A. Salman +2 more
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Tempered distributions and Fourier transform on the Heisenberg group [PDF]
, 2017 The final goal of the present work is to extend the Fourier transform on the Heisenberg group $\H^d,$ to tempered distributions. As in the Euclidean setting, the strategy is to first show that the Fourier transform is an isomorphism on the Schwartz space,
Bahouri, Hajer +2 more
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Some properties of the spinor fourier transform [PDF]
, 2015 In this paper, the theory of the spinor Fourier transform introduced in [Batard T, Berthier M, Saint-Jean C, Clifford-Fourier Transform for Color Image Processing, Geometric Algebra Computing for Engineering and Computer Science (E.
Batard, Thomas, Raeymaekers, Tim
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Fast complexified quaternion Fourier transform
, 2006 A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued.
Bihan Stephen +3 more
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