Geodesic
Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 77-82 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the problem of evaluating the continuous Morlet wavelet transform can be stated as the Cauchy problem for a system of two partial differential equations. The initial conditions for the desired functions, i.e., for the real and imaginary parts of the wavelet transform, are the analyzed function and a vanishing function, respectively. Numerical examples are given. 
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E. B. Postnikov. Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 77-82. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a7/

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