Quaternion-valued admissible wavelets associated with the 2-dimensional Euclidean group with dilations (Q2739106)
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scientific article; zbMATH DE number 1643455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quaternion-valued admissible wavelets associated with the 2-dimensional Euclidean group with dilations |
scientific article; zbMATH DE number 1643455 |
Statements
8 December 2002
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reproducing formula
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Plancherel theorem
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quaternion-valued wavelets
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continuous wavelet systems
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Quaternion-valued admissible wavelets associated with the 2-dimensional Euclidean group with dilations (English)
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The authors establish some basic theory (such as the Calderón reproducing formula and Plancherel theorem) for continuous wavelet systems generated by the two dimensional Euclidean group with dilations (i.e., dilations, translations, and rotations), with the wavelets being quaternion-valued. Some examples of generating wavelets of such systems are also given.
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