Linear Canonical Transforms on the Zemanian Spaces

Authors

  • Dr. A S Gudadhe

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.

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How to Cite

Linear Canonical Transforms on the Zemanian Spaces. (2012). Global Journal of Science Frontier Research, 12(F8), 17-23. https://www.journalofscience.org/index.php/GJSFR/article/view/652

References

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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.

Linear Canonical Transforms on the Zemanian Spaces

Published

2012-07-27

How to Cite

Linear Canonical Transforms on the Zemanian Spaces. (2012). Global Journal of Science Frontier Research, 12(F8), 17-23. https://www.journalofscience.org/index.php/GJSFR/article/view/652