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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review
Convolution theorems for quaternion fourier transform: Properties and applications
Bahri M.
Abstract and Applied Analysis
Q4Published: 2013Citations: 48
Abstract
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.
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10.1155/2013/162769Other files and links
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