Boehmian space for certain generalized integral transformation

摘要

The classical F_a~b transform was proclaimed as an extension to Fourier and Hartley trans-formations. In [17], authors have extended the F_a~b transform to a space of generalized functions and they further have obtained some desired properties. This article discusses the F_a~b transform on certain space of generalized functions. Two spaces of Boehmians have been established and the extended F_a~b transform is also defined. Some general properties of the transform are given in some detail.