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Fourier Transformation and Related Operators

Kumar, Kailash

Description

The Fourier transform operator and other operations that occur in Fourier analysis, such as scaling, translation, multiplication by a function and convolution are looked upon as linear integral operators and it is shown how the basic theorems of Fourier analysis may be expressed in terms of them. Certain advantages of this point of view are demonstrated with examples showing the connections to other related operators such as the fractional Fourier transform and states such as those of the...[Show more]

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
URI: http://hdl.handle.net/1885/93520
Source: European Journal of Physics
DOI: 10.1088/0143-0807/20/6/316

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