Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q=2

We describe a non-commutative generalization of the complex Fourier-Mellin transform to Clifford algebra valued signal functions over the domain $\R^{p,q}$ taking values in Cl(p,q), p+q=2. Keywords: algebra, Fourier transforms; Logic, set theory, and algebra, Fourier analysis, Integral transformsComment: 6 pages, 2 figure