Operational calculus and Fourier transform on Boehmians
Volume 102 / 2005
Colloquium Mathematicum 102 (2005), 21-32
MSC: 44A20, 44A45, 46F12.
DOI: 10.4064/cm102-1-3
Abstract
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 $(e^{ist}$, $s,t\in {\mathbb R})$, 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.
