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General formula for finding Mexican hat wavelets by virtue of Dirac's representation theory and coherent state

Hong-Yi Fan·Hai-Liang Lu
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Abstract

The admissibility condition of a mother wavelet is explored in the context of quantum optics theory. By virtue of Dirac's representation theory and the coherent state' property we derive a general formula for finding Mexican hat wavelets.

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Hong-Yi Fan, Hai-Liang Lu. 2005-08-08. General formula for finding Mexican hat wavelets by virtue of Dirac's representation theory and coherent state. https://doi.org/10.1364/ol.31.000407

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