Boundedness Property For Distributional Fst & 2Dfmt

The Boundedness Theorem which states that a continuous function f in the closed interval [ a, b] is bounded on that interval i.e. there exist real m numbers M and such that:m ≤f x ≤ M ,for all x ∈ [ a,b ] The continuous function f is said to be bounded as domain is closed & bounded interval l= [a ,b ]. Every transformation is linear and bounded. In the present paper, the Fourier-Stieltjes Transform and Two Dimensional Fourier-Mellin Transform is extended in the distributional generalized sense. The Boundedness theorem for the Fourier-Stieltjes Transform (FST) and Two Dimensional Fourier-Mellin Transform(2DFMT) are proved.