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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-3,
author = {V. Karunakaran and R. Roopkumar},
title = {Operational calculus and Fourier transform on Boehmians},
journal = {Colloquium Mathematicae},
volume = {103},
year = {2005},
pages = {21-32},
zbl = {1079.46029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-3}
}
V. Karunakaran; R. Roopkumar. Operational calculus and Fourier transform on Boehmians. Colloquium Mathematicae, Tome 103 (2005) pp. 21-32. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-3/