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.
- Adjacent Vertices
- Adjoint Curve
- Adjoint Matrix
- Adjoint Operator
- Adjugate Matrix
- Adjunction
- Adleman-Pomerance-Rumely Primality Test
- Adleman-Rumely Primality Test
- Admissible
- Adéle
- Adéle Group
- Affine Complex Plane
- Affine Connection
- Affine Equation
- Affine Geometry
- Affine Group
- Affine Hull
- Affine Plane
- Affine Scheme
- Affine Space
- Affine Transformation
- Affinity
- Affix
- Aggregate
- AGM