global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 73737 Note on Elzaki Transform of Distributions and Certain Space of Boehmians S.K.Q.AL-OMARIDr. JORDAN, Al-balqa Applied University Jordan 12 02 2012 12 F1 1 6

The Elzaki transform transform was discussed in as a motivation of the classical Sumudu transform. In this article, we extend the Elzaki transform to a space of tempered distributions (distributions of slow growth) by known kernel method. Further, we establish two spaces of Boehmians so that the Elzaki transform is well de.ned. Certain theorems are established in some details.

 Generalized function; Elzaki Transform; Sumudu Transform; Tempered Distribution; Boehmian Space. Full Text

The Elzaki transform transform was discussed in [19] as a motivation of the classical Sumudu transform. In this article, we extend the Elzaki transform to a space of tempered distributions (distributions of slow growth) by known kernel method. Further, we establish two spaces of Boehmians so that the Elzaki transform is well de.ned. Certain theorems are established in some details.