IJPAM: Volume 87, No. 3 (2013)

SHORT NOTE ON THE DISTRIBUTIONAL DIFFRACTION
FRESNEL SINE (COSINE) TRANSFORM

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


Abstract. The diffraction Fresnel sine and diffraction Fresnel cosine transforms are extended to spaces of distributions of compact support. The convolution Theorem of the transforms has been established in a generalized sense. Certain theorems are also discussed.

Received: March 20, 2013

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

Key Words and Phrases: diffraction Fresnel integral, diffraction Fresnel sine transform, diffraction Fresnel cosine transform, distribution space

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DOI: 10.12732/ijpam.v87i3.3 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: 87
Issue: 3