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- Fourier_analysis abstract "In mathematics, Fourier analysis (English pronunciation: /ˈfɔərieɪ/) 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.Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into simpler pieces is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis. In mathematics, the term Fourier analysis often refers to the study of both operations.The decomposition process itself is called a Fourier transform. The transform is often given a more specific name, which depends upon the domain and other properties of the function being transformed. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis. Each transform used for analysis (see list of Fourier-related transforms) has a corresponding inverse transform that can be used for synthesis.".
- Fourier_analysis wikiPageExternalLink fourier.html.
- Fourier_analysis wikiPageExternalLink aux-inttrans.htm.
- Fourier_analysis wikiPageExternalLink pdfbook.htm.
- Fourier_analysis wikiPageExternalLink Lectures_on_Image_Processing.
- Fourier_analysis wikiPageID "11659".
- Fourier_analysis wikiPageRevisionID "637221956".
- Fourier_analysis hasPhotoCollection Fourier_analysis.
- Fourier_analysis subject Category:Digital_signal_processing.
- Fourier_analysis subject Category:Fourier_analysis.
- Fourier_analysis subject Category:Integral_transforms.
- Fourier_analysis subject Category:Joseph_Fourier.
- Fourier_analysis subject Category:Mathematical_physics.
- Fourier_analysis subject Category:Mathematics_of_computing.
- Fourier_analysis subject Category:Time_series_analysis.
- Fourier_analysis type Thing.
- Fourier_analysis comment "In mathematics, Fourier analysis (English pronunciation: /ˈfɔərieɪ/) 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.Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics.".
- Fourier_analysis label "Analisi di Fourier".
- Fourier_analysis label "Analisis Fourier".
- Fourier_analysis label "Análise de Fourier".
- Fourier_analysis label "Fourier analizi".
- Fourier_analysis label "Fourier analysis".
- Fourier_analysis label "Fourier-Analysis".
- Fourier_analysis label "Fourier-analízis".
- Fourier_analysis label "Fourieranalyse".
- Fourier_analysis seeAlso Fourier_series.
- Fourier_analysis sameAs Fourier-Analysis.
- Fourier_analysis sameAs Ανάλυση_Φουριέ.
- Fourier_analysis sameAs Analisis_Fourier.
- Fourier_analysis sameAs Analisi_di_Fourier.
- Fourier_analysis sameAs Fourieranalyse.
- Fourier_analysis sameAs Análise_de_Fourier.
- Fourier_analysis sameAs m.032v1.
- Fourier_analysis sameAs Q1365258.
- Fourier_analysis sameAs Q1365258.
- Fourier_analysis wasDerivedFrom Fourier_analysis?oldid=637221956.
- Fourier_analysis isPrimaryTopicOf Fourier_analysis.