  In the field of applied mathematics the Fourier transform has developed into
an important tool. It is a powerful method for solving partial differential
equations. The Fourier transform provides also a technique for signal analysis
where the signal from the original domain is transformed to the spectral or
frequency domain. In the frequency domain many characteristics of the signal
are revealed. With these facts in mind, we extend the Fourier transform in
geometric algebra. We explicitly show detailed properties of the real Clifford
geometric algebra Fourier transform (CFT), which we subsequently use to define
and prove the uncertainty principle for Cl(3,0) multivector functions.
