Here's an equation of the Fourier transform: Fourier Equation
In the same equation image above, in the second line, is an equation I read from a paper. It seems that the a_n
are turned into functions of A(u)
respectively, which depend on the variable u
, which is the frequency. There is also an additional 2*pi
in the sin
In other words, the eventual equation can get to become: New Equation
I don't understand several things in this new equation.
First, what are the A(u) and B(u) functions? Why do they depend on u?
Second, why is there a 2*pi in the sin and cos functions? What do the 2*pi mean?
Third, how does the new equation differ from the original equation?