Linear Canonical Transforms on the Zemanian Spaces
Fractional Fourier transform, Linear canonical transform, space
Abstract
The objective of this paper is to make the theory of Linear canonical transform mathematically rigorous. Here we define the linear canonical transform on the Zemanian space , the space of functions of rapid descent, and prove some results. We have also discussed some operation formulae for linear canonical transform on this space.
Downloads
How to Cite
References
O Akay, G Boudreaux-Bartels (1998) Unitary and Hermitian fractional operators and their relation to the fractional Fourier transform. 5(12), 312-314.
L Almeida (1997) Product and Convolution Theorems for the Fractional Fourier Transform. 4(1), 15-17.
A S Gudadhe, P P ; Thakare, Kerr (1988) F H: A distributional approach to Namias Fractional Fourier transform. 108, 133-143.
V Namias (1980) The Fractional Fourier Transform and Its application in Quantum Mechanics. 25, 241-265.
H Ozaktas, Z Zalevsky, M Kutay (2001) The Fractional Fourier Transform with Applications in Optics and Signal Proessing.
A Zemanian (1965) Distribution Theory and Transform Analysis.
Published
2012-07-27
Issue
Section
License
Copyright (c) 2012 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.