HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
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Language | English |
Publication Date | 2011 |
Type | Research Paper (International Conference Proceedings) |
Peer Review | With peer review |
Title | OPS-QFTs: A new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions |
Contribution Type | Single Work |
Journal | AIP Conf. Proc. |
Journal Type | Another Country |
Publisher | American Institute of Physics |
Volume, Issue, Pages | 1389,pp.280-283 |
Author and coauthor | HITZER Eckhard |
Details | We explain the orthogonal planes split (OPS) of quaternions based on the arbitrary choice of one or two linearly independent pure unit quaternions f,g. Next we systematically generalize the quaternionic Fourier transform (QFT) applied to quaternion fields to conform with the OPS determined by f,g, or by only one pure unit quaternion f, comment on their geometric meaning, and establish inverse transformations. |
DOI | 10.1063/1.3636721 |