Results 11 to 20 of about 1,101,667 (305)
The Chromatic Fourier Transform [PDF]
Forum of Mathematics, PiWe develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n=0$ , as well as a certain duality for the $E_n$ -(co)homology of $\pi
Tobias Barthel +3 more
doaj +5 more sources
On the Clifford-Fourier Transform [PDF]
International Mathematics Research Notices, 2011 For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^m$ defined with a kernel function $K(x,y) := e^{\frac{i }{2} _{y}}e^{-i }$, replacing the kernel $e^{i }$ of the ordinary Fourier transform, where $ _{y} := - \sum_ ...
De Bie, Hendrik, Xu, Yuan
openaire +7 more sources
2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 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 inputs.
Qian Yu +2 more
openaire +4 more sources
On Fourier transforms. III [PDF]
Transactions of the American Mathematical Society, 1935 A. C. Offord
+6 more sources
A caveat about applications of the unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2020 It is presented a warning about the erroneous use of unilateral Fourier transform with nonhomogeneous Dirichlet or Neumann boundary conditions in a well-known textbook on integral transforms, and also in a few papers recently diffused in the literature.
Antonio S. de Castro
doaj +2 more sources
More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2022 The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira +1 more
doaj +1 more source
Fourier ptychography algorithm based on scaled Fourier transform
Electronics Letters, 2021 This letter discusses an alternative Fourier ptychography algorithm based on the scaled fast Fourier transform propagation. The advantage of this scheme is that it enables a zoom‐in capability of the object spectrum and complex pupil within the synthetic
Mojde Hasanzade +3 more
doaj +1 more source
Quantum Weighted Fractional Fourier Transform
Mathematics, 2022 Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Tianyu Yang, Yingying Chi
doaj +1 more source
Nonlinearizad of Fast Fourier Transform
Цифровые модели и решения, 2023 A unified mathematical form of reversible nonlinear transformations based on a nonlinear tensor product is presented in the form of fast algorithms.
Valeriy Labunets +2 more
doaj +1 more source
Multiweighted-Type Fractional Fourier Transform: Unitarity
Fractal and Fractional, 2021 The definition of the discrete fractional Fourier transform (DFRFT) varies, and the multiweighted-type fractional Fourier transform (M-WFRFT) is its extended definition. It is not easy to prove its unitarity.
Tieyu Zhao, Yingying Chi
doaj +1 more source