On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.