Composition of ultradistributions and corresponding microfunctions with ε*-functions

Abstract

The pull back f*u ∈ D’*(X) of u ∈ D’*(Y) is determined, where f = (f1,…, fm) : X → Y is an ∈*- function, X and Y are open sets of Rn and Rm, respectively. The SS*(f*u) is estimated. Also, the composition is done for the corresponding spaces of microfunctions C**(X ×Rn\(0)) and C** .(Y×Rm\(0)). © 2005 Rocky Mountain Mathematics Consortium.