Test environment running 7.6.6

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Fourier Transformation and Related Operators

Thumbnail Image

Date

1999

Authors

Kumar, Kailash

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Physics Publishing

Abstract

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 quantum mechanical harmonic oscillator and coherent states.

Description

Keywords

Citation

URI

http://hdl.handle.net/1885/93520

Collections

Open Access Research

Source

European Journal of Physics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1088/0143-0807/20/6/316

Restricted until

DSpace software copyright © 2002-2026 LYRASIS