IJPAM: Volume 86, No. 1 (2013)

A NOTE ON
Fab TRANSFORMATION OF GENERALIZED FUNCTIONS

S.K.Q. Al-Omari
Department of Applied Sciences
Faculty of Engineering Technology
Al-Balqa' Applied University
Amman, 11134, JORDAN


Abstract. In this article we consider a new transformation named as Fab transformation. The distributional Fab transformation of compact support is defined as an analytic distribution. Two spaces of boehmians are also constructed. The generalized Fab transformation of a Boehmian is viewed as another Boehmian. Various properties of this transform are obtained in the generalized sense.

Received: February 17, 2013

AMS Subject Classification: 54C40, 14E20, 46E25, 20C20

Key Words and Phrases: Hartley transform, Fab transformation, Fourier transformation, generalized function, Fourier cosine transformation, boehmians

Download paper from here.



DOI: 10.12732/ijpam.v86i1.3 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 1