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Published in:
2015 | OriginalPaper | Chapter
On Some Quaternionic Coherent States and Wavelets
Author : S. Twareque Ali
Published in: Geometric Methods in Physics
Publisher: Springer International Publishing
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As a natural extension of the affine groups of the reals and the complexes, leading to one and two-dimensional wavelets, we look at the quaternionic affine group and its representations on both complex and quaternionic Hilbert spaces. We then study the problem of coherent states and wavelets built from these representations.