U+2131 Script Capital F
U+2131 was added in Unicode version 1.1 in 1993. It belongs to the block
This character is a Uppercase Letter and is commonly used, that is, in no specific script. The character is also known as Fourier transform.
The glyph is a font version of the glyph
The Wikipedia has the following information about this codepoint:
In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes as input a function 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 complexvalued function of frequency. The term Fourier transform refers to both this complexvalued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function. The Fourier transform is analogous to decomposing the sound of a musical chord into the intensities of its constituent pitches.
Functions that are localized in the time domain have Fourier transforms that are spread out across the frequency domain and vice versa, a phenomenon known as the uncertainty principle. The critical case for this principle is the Gaussian function, of substantial importance in probability theory and statistics as well as in the study of physical phenomena exhibiting normal distribution (e.g., diffusion). The Fourier transform of a Gaussian function is another Gaussian function. Joseph Fourier introduced the transform in his study of heat transfer, where Gaussian functions appear as solutions of the heat equation.
The Fourier transform can be formally defined as an improper Riemann integral, making it an integral transform, although this definition is not suitable for many applications requiring a more sophisticated integration theory. For example, many relatively simple applications use the Dirac delta function, which can be treated formally as if it were a function, but the justification requires a mathematically more sophisticated viewpoint.
The Fourier transform can also be generalized to functions of several variables on Euclidean space, sending a function of 3dimensional 'position space' to a function of 3dimensional momentum (or a function of space and time to a function of 4momentum). This idea makes the spatial Fourier transform very natural in the study of waves, as well as in quantum mechanics, where it is important to be able to represent wave solutions as functions of either position or momentum and sometimes both. In general, functions to which Fourier methods are applicable are complexvalued, and possibly vectorvalued. Still further generalization is possible to functions on groups, which, besides the original Fourier transform on R or R^{n}, notably includes the discretetime Fourier transform (DTFT, group = Z), the discrete Fourier transform (DFT, group = Z mod N) and the Fourier series or circular Fourier transform (group = S^{1}, the unit circle ≈ closed finite interval with endpoints identified). The latter is routinely employed to handle periodic functions. The fast Fourier transform (FFT) is an algorithm for computing the DFT.
Representations
System  Representation 

Nº  8497 
UTF8  E2 84 B1 
UTF16  21 31 
UTF32  00 00 21 31 
URLQuoted  %E2%84%B1 
HTML hex reference  ℱ 
Wrong windows1252 Mojibake  â„± 
HTML named entity  ℱ 
HTML named entity  ℱ 
alias  Fourier transform 
L^{A}T_{E}X  \mathscr{F} 
Related Characters
Confusables
Elsewhere
Complete Record
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1.1 (1993)  
SCRIPT CAPITAL F  
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