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Was (wer) ist Fourier analysis - definition
Fourier analysis
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BRANCH OF MATHEMATICS REGARDING PERIODIC AND CONTINUOUS SIGNALS
Fourier synthesis; Fourier Analysis; Relations between Fourier transforms and Fourier series; Relations between Fourier Trasform, Fourier Series, DTFT and DFT; Relations between Fourier Transform, Fourier Series, DTFT and DFT; Relations among the continuous Fourier transform, the Fourier series, the discrete-time Fourier transform and the discrete Fourier transform; Relations among the continuous Fourier transform, the Fourier series, the DTFT and the DFT; Relations between fourier transforms and fourier series; Elliptic fourier analysis; Applications of Fourier analysis; History of Fourier analysis
In mathematics, Fourier analysis () is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer.
List of Fourier analysis topics
WIKIMEDIA LIST ARTICLE
Fourier series and transforms; List of fourier analysis topics; Outline of Fourier analysis
This is a list of Fourier analysis topics. See also the list of Fourier-related transforms, and the list of harmonic analysis topics.
Multiplier (Fourier analysis)
AN OPERATOR THAT MULTIPLIES THE FOURIER COEFFICIENTS OF A FUNCTION BY A SPECIFIED FUNCTION
Fourier multiplier; Fourier multiplier operator; Marcinkiewicz multiplier theorem; Multiplier theorem; Multiplier operator
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.
