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• W3105157041 abstract "Wavelets, known to be useful in non-linear multi-scale processes and in multi-resolution analysis, are shown to have a q-deformed algebraic structure. The translation and dilation operators of the theory associate with any scaling equation a non-linear, two parameter algebra. This structure can be mapped onto the quantum group $su_{q}(2)$ in one limit, and approaches a Fourier series generating algebra, in another limit. A duality between any scaling function and its corresponding non-linear algebra is obtained. Examples for the Haar and B-wavelets are worked out in detail." @default.
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• W3105157041 date "1998-04-01" @default.
• W3105157041 modified "2023-09-26" @default.
• W3105157041 title "Wavelets and quantum algebras" @default.
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• W3105157041 doi "https://doi.org/10.1063/1.532292" @default.
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