IJPAM: Volume 86, No. 1 (2013)
Fab TRANSFORMATION OF GENERALIZED FUNCTIONS
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
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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