Discover
Fourier transform
mathematics
verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies.
Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
Feedback
Thank you for your feedback
Our editors will review what you’ve submitted and determine whether to revise the article.
External Websites
- Open Library Publishing Platform - Rick's Measurement for Mechatronics Notes - Fourier Transforms
- Scholars at Harvard - Fourier transforms
- University of Toronto - Department of Mathematics - Fourier Transform
- Princeton University - Frequency Domain and Fourier Transforms
- The University of Arizona - Department of Mathematics - Fourier transform techniques
- University of Oxford - Mathematical Institute - F is for Fourier Transform
- The University of Utah - Department of Mathematics - Fourier transform
- Physics LibreTexts - Fourier Transform, A Brief Introduction
- Wolfram MathWorld - Fourier Transform
- UCLA Department of Mathematics - Fourier Transform
- Nature - Fourier’s transformational thinking
Fourier transform, in mathematics, a particular integral transform. As a transform of an integrable complex-valued function f of one real variable, it is the complex-valued function f ˆ of a real variable defined by the following equation
In the integral equation
the function f (y) is an integral transform of F(x), and K(x,y) is the kernel. Often the reciprocal relationship is valid:
Britannica Quiz
Numbers and Mathematics
See integral transform.