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the Fourier analysis

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  • Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

  • Fourier-Analysis — Die Fourier Analysis (Aussprache des Namens: fur je) auch bekannt als Fourier Analyse oder klassische harmonische Analyse ist die Theorie der Fourier Reihen und Fourier Integrale. Ihre Ursprünge reichen in das 18. Jahrhundert zurück. Benannt sind …   Deutsch Wikipedia

  • Multiplier (Fourier analysis) — In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. Specifically they multiply the Fourier transform of a function by a… …   Wikipedia

  • Fourier Analysis — A type of mathematical analysis that attempts to identify patterns or cycles in a time series data set which has already been normalized. By first removing any effects of trends or other complicating factors from the data set, the effects of… …   Investment dictionary

  • Fourier analysis — Physics, Math. 1. the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function. Cf. Fourier series. 2. See harmonic analysis. [1925 30; named after J.B.J. FOURIER] * * * …   Universalium

  • Fourier analysis — noun Etymology: Baron J.B.J. Fourier died 1830 French geometrician & physicist Date: circa 1928 the process of using the terms of a Fourier series to find a function that approximates periodic data …   New Collegiate Dictionary

  • Fourier analysis — n. Math. the resolution of periodic data into harmonic functions using a Fourier series. Etymology: J. B. J. Fourier, Fr. mathematician d. 1830 …   Useful english dictionary

  • Fourier analysis — Loosely, the use of Fourier transformations to convert a time based signal to a frequency spectrum and back, allowing any periodic property of the signal to be identified …   Dictionary of molecular biology

  • Fourier analysis — /fʊriər əˈnæləsəs/ (say fooreeuhr uh naluhsuhs) noun the decomposition of any periodic function such as a complex sound or electromagnetic waveform into the sum of a number of sine and cosine functions. {from JBJ Fourier} …  

  • Fourier analysis — Fou′rier anal ysis n. math. the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function • Etymology: 1925–30; after J.B.J. Fourier …   From formal English to slang

  • List of Fourier analysis topics — This is an alphabetical list of Fourier analysis topics. See also the list of Fourier related transforms, and the list of harmonic analysis topics. Almost periodic function ATS theorem Autocorrelation Autocovariance Banach algebra Bessel function …   Wikipedia

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