Fourier transform (in space domain)

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• Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

• Fourier transform — Math. a mapping of a function, as a signal, that is defined in one domain, as space or time, into another domain, as wavelength or frequency, where the function is represented in terms of sines and cosines. [1920 25; see FOURIER ANALYSIS] * * *… …   Universalium

• Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …   Wikipedia

• Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… …   Wikipedia

• Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

• Fourier optics — is the study of classical optics using techniques involving Fourier transforms and can be seen as an extension of the Huygens Fresnel principle. The underlying theorem that light waves can be described as made up of sinusoidal waves, in a manner… …   Wikipedia

• Fourier — (pronEng|ˈfʊərieɪ, French pronunciation IPA2|fuʁie) may refer to:*Charles Fourier (1772–1837), a French utopian socialist thinker *Joseph Fourier (1768–1830), a French mathematician and physicist **Mathematics, physics, and engineering terms… …   Wikipedia

• 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

• Frequency domain — In electronics, control systems engineering, and statistics, frequency domain is a term used to describe the domain for analysis of mathematical functions or signals with respect to frequency, rather than time.[1] Speaking non technically, a time …   Wikipedia

• Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia