Class of Weyl integral operators associated with some generalized function spaces

Abstract

Abstract: In order to generate a class of integrable Boehmians for the generalized Weyl integral
operator, we make use of a couple of convolution products and a class of delta sequences. We prove
axioms and establish a new class of Boehmians. The generalizedWeyl integral operator has therefore
been given as a mapping congruent with the classical integral operator. Convolution theorems for
the classicalWeyl and the generalizedWeyl integral operators have also been derived.