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Convolution Theorems for Quaternion Fourier Transform : Properties and Applications
Joint Authors
Bahri, Mawardi
Ashino, Ryuichi
Vaillancourt, Rémi
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
General convolution theorems for two-dimensional quaternion Fourier transforms (QFTs) are presented.
It is shown that these theorems are valid not only for real-valued functions but also for quaternion-valued functions.
We describe some useful properties of generalized convolutions and compare them with the convolution theorems of the classical Fourier transform.
We finally apply the obtained results to study hypoellipticity and to solve the heat equation in quaternion algebra framework.
American Psychological Association (APA)
Bahri, Mawardi& Ashino, Ryuichi& Vaillancourt, Rémi. 2013. Convolution Theorems for Quaternion Fourier Transform : Properties and Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-450856
Modern Language Association (MLA)
Bahri, Mawardi…[et al.]. Convolution Theorems for Quaternion Fourier Transform : Properties and Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-450856
American Medical Association (AMA)
Bahri, Mawardi& Ashino, Ryuichi& Vaillancourt, Rémi. Convolution Theorems for Quaternion Fourier Transform : Properties and Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-450856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450856