Results 1 to 10 of about 22,685,221 (271)
Quantum Fourier analysis. [PDF]
Proc Natl Acad Sci U S A, 2020 Significance Classical Fourier analysis, discovered over 200 years ago, remains a cornerstone in understanding almost every field of pure mathematics. Its applications in physics range from classical electromagnetism to the formulation of quantum theory.
Jaffe A, Jiang C, Liu Z, Ren Y, Wu J.
europepmc +7 more sources
On the Validity of the Local Fourier Analysis [PDF]
Journal of Computational Mathematics, 2017 Local Fourier analysis (LFA) is a useful tool in predicting the convergence factors of geometric multigrid methods (GMG). As is well known, on rectangular domains with periodic boundary conditions this analysis gives the exact convergence factors of such
C. Rodrigo, F. Gaspar, L. Zikatanov
semanticscholar +5 more sources
Fourier analysis on the sphere [PDF]
Transactions of the American Mathematical Society, 1975 A new approach to harmonic analysis on the unit sphere in R d + 1 {{\mathbf {R}}^{d + 1}} is given, closer in form to Fourier analysis on R
Thomas Sherman
+4 more sources
Digital Communication Techniques, 2018 Let G be a finite abelian group. A character of G is simply a homomorphism ψ from G to the multiplicative group of the complex numbers, C∗: ψ(a + b) = ψ(a)ψ(b), and ψ(−a) = 1 ψ(a) .
Terence Tao, Richard L. Tweedie
semanticscholar +2 more sources
Fourier Analysis of Keratometric Data in Epithelium Removal versus Epithelial Disruption Corneal Cross-linking [PDF]
Journal of Ophthalmic & Vision Research, 2020 Purpose: To compare epithelium-removal and epithelium-disruption corneal crosslinking (CXL) methods in Fourier analysis of keratometric data and clinical outcomes.
Shahram Bamdad +3 more
doaj +2 more sources
Experiment in Fourier Analysis [PDF]
American Journal of Physics, 1973 Utilizing only commonly available components and instruments, construction and performance details are given for a system capable of extracting the sinusoidal components of a 10 kHz square wave and a 10 kHz half-wave rectified sine wave to at least the seventh harmonic with an amplitude accuracy of at least 10%.
W. P. Lonc
openalex +4 more sources
Nonlinear Fourier Analysis [PDF]
arXiv, 2012 The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series, and on nonlinear analogues of classical analytic facts about Fourier series.
Tao, Terence, Thiele, Christoph
arxiv +3 more sources
A Limitation of Fourier Analysis [PDF]
Indiana University Mathematics Journal, 1967 Garrett Birkhoff
openalex +3 more sources
Sensors, 2023 This study addresses the characterization of normal gait and pathological deviations induced by neurological diseases, considering knee angular kinematics in the sagittal plane.
Lorenzo Hermez +5 more
doaj +1 more source