Fourier Transformation and Related Operators

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dc.contributor.authorKumar, Kailash
dc.date.accessioned2015-12-13T23:34:36Z
dc.date.available2015-12-13T23:34:36Z
dc.date.issued1999
dc.date.updated2015-12-12T09:36:41Z
dc.description.abstractThe 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.
dc.identifier.issn0143-0807
dc.identifier.urihttp://hdl.handle.net/1885/93520
dc.publisherInstitute of Physics Publishing
dc.sourceEuropean Journal of Physics
dc.titleFourier Transformation and Related Operators
dc.typeJournal article
local.bibliographicCitation.lastpage10
local.bibliographicCitation.startpage1
local.contributor.affiliationKumar, Kailash, College of Physical and Mathematical Sciences, ANU
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidKumar, Kailash, a109305
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub24891
local.identifier.citationvolume20
local.identifier.doi10.1088/0143-0807/20/6/316
local.identifier.scopusID2-s2.0-0038997830
local.identifier.uidSubmittedByMigrated
local.type.statusPublished Version

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