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In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex valued function of frequency. The term Fourier transform refers to both the mathematical…
Applications, Definition & Properties
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Fourier transform | is a | automorphism of the space | 0.90 | text |
| Fourier transform | is a | Dirac comb function whose teeth are multiplied by the Fourier series coefficients.Sampling the Fourier transformThe Fourier transform of an integrable function f | 0.90 | text |
| Fourier transform | is a | Dirac comb function whose teeth are multiplied by the Fourier series coefficients | 0.90 | text |
| Fourier transform | is a | linear transform that has eigenfunctions obeying | 0.90 | text |
| Fourier transform | is a | unitary transform when using the right conventions | 0.90 | text |
| Fourier transform | is a | Gaussian function with variance σ | 0.90 | text |
| Fourier transform | is a | automorphism of the Schwartz space and | 0.90 | text |
| Fourier transform | is a | constant function | 0.90 | text |
| particle physics | instance of | In some contexts | 0.80 | text |
| the same symbol f | instance of | In some contexts | 0.80 | text |
| Matlab | instance of | this provides a transform for a continuum of frequency values.Many computer algebra systems | 0.80 | text |
| Mathematica that are capable of symbolic integration are capable of computing Fourier transforms symbolically. https | instance of | this provides a transform for a continuum of frequency values.Many computer algebra systems | 0.80 | text |
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