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.
- Condom Problem
- Condon-Shortley Phase
- Conductor
- Cone
- Cone Graph
- Cone Net
- Cone (Space)
- Cone-Sphere Intersection
- Confidence Interval
- Configuration
- Confluent Hypergeometric Differential Equation
- Confluent Hypergeometric Function
- Confluent Hypergeometric Function of the First Kind
- Confluent Hypergeometric Function of the Second Kind
- Confluent Hypergeometric Limit Function
- Confocal Conics
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- Conformal Latitude
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- Conformal Tensor
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- Congruence