Fourier Transform--Gaussian
The Fourier Transform of a Gaussian Function 
is given by
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The second integrand is Even, so integration over a symmetrical range gives 0. The value of the first integral is givenby Abramowitz and Stegun (1972, p. 302, equation 7.4.6)
so a Gaussian transforms to a Gaussian.See also Gaussian Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.
- Normal Developable
- Normal Distribution
- Normal Distribution Function
- Normal Equation
- Normal Form
- Normal Function
- Normal Group
- Normalized Vector
- Normalizer
- Normal Magic Square
- Normal Matrix
- Normal Number
- Normal Order
- Normal Plane
- Normal Section
- Normal Subgroup
- Normal to a Plane
- Normal Vector
- Normed Space
- Norm Theorem
- Nosarzewska's Inequality
- Not
- Notation
- Novemdecillion
- NP-Complete Problem