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FRACTAL SETS AND THEIR RELATION WITH WAVELET SETS
A. Askari Hemmat (Iran) and M. J. Kheirdeh (Iran)
Received February 11, 2008
References:
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[1] A. Askari Hemmat and M. J. Kheirdeh, On wavelet sets, GJMMS (to appear).
[2] X. Dai, D. R. Larson and D. M. Speegle, Wavelet sets in J. Fourier Anal. Appl. 3 (1997), 451-456.
[3] X. Dai, D. R. Larson and D. M. Speegle, Wavelet sets in Wavelets, Multiwavelet and their Applications, Contemp. Math. 216, Amer. Math. Soc. Providence, RI, 1998, pp. 15-40.
[4] I. Daubechies, Ten Lectures on Wavelets, CBMS 61, SIAM, 1992.
[5] J. Dobrosotskaya, About Minimally Supported Frequency Wavelets and Conditions of Existence of Scaling Function, June 2003.
[6] G. A. Edgar, Measure, Topology and Fractal Geometry, Springer-Verlag, 1990.
[7] J.-P. Gabardo and Xiaojiang Yu, Construction of wavelet sets with certain self-similarity properties (to appear).
[8] E. Hernandez and G. Weiss, A First Course on Wavelets, CRC Press, FL, 1996. |
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| Keywords and phrases:
fractals, multiresolution analysis, wavelets, wavelet sets, digits. |
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