Periodic dyadic wavelets and coding of fractal functions |
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| Authors: | Yu A Farkov M E Borisov |
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| Institution: | 1. Russian State Geological Prospecting University, ul. Miklukho-Maklaya 23, Moscow, 117997, Russia
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| Abstract: | Recently, using the Walsh-Dirichlet type kernels, the first author has defined periodic dyadic wavelets on the positive semiaxis which are similar to the Chui-Mhaskar trigonometric wavelets. In this paper we generalize this construction and give examples of applications of periodic dyadic wavelets for coding the Riemann, Weierstrass, Schwarz, van der Waerden, Hankel, and Takagi fractal functions. |
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