Let be a continuous function and and be Fourier Transform pairs so that
(1) | |||
(2) |
(3) |
For finite Fourier Transform pairs and ,
(4) |
If a function has a Fourier Series given by
(5) |
(6) |
(7) |
(8) |
(9) |
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA:
Academic Press, p. 1101, 1979.