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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2009/v10r106.html
Дата изменения: Mon Apr 6 17:57:30 2009 Дата индексирования: Mon Oct 1 22:44:18 2012 Кодировка: |
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"A generalization of Calderon's theorem. Discretization of
continuous wavelet transforms" Zhileikin Ya.M. |
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Calderon's theorem is generalized to the set of periodic functions belonging to the space L2(0,1). The discretization of the direct and inverse wavelet transforms are realized on the basis of the discrete Fourier transform, which allows one to develop efficient computational algorithms. The Mexican hat wavelet is considered as an example. The work is supported by the Russian Foundation for Basic Research (project no.~08-01-00285). Keywords: wavelets, Fourier transform, convolution operator
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| Zhileikin Ya.M. e-mail: jam@srcc.msu.ru |