Summary
This note presents the setting of sibling frames on a compact interval together with a discussion on the duality relation.
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References
P. L. Butzer and R. J. Nessel. Fourier Analysis and Approximation. Birkhäuser, Basel und Stuttgart, 1971.
C. K. Chui, W. He, and J. Stöckler. Compactly supported tight and sibling frames with maximum vanishing moments. Applied Comput. Harmonic Anal. 13:224–262, 2002.
C. K. Chui, W. He, and J. Stöckler. Nonstationary tight wavelet frames on bounded intervals, submitted. Preprint available as: Universität Dortmund, Ergebnisberichte Angewandte Mathematik Nr. 230, April 2003.
C. K. Chui and J. Stöckler. Recent development of spline wavelet frames with compact support. To appear in Beyond wavelets, G. V. Welland (ed.). Academic Press, San Diego et al., 2003.
I. Daubechies. Ten Lectures on Wavelets. SIAM, Philadelphia, Pa., 1992.
I. Daubechies, B. Han, A. Ron, and Z. Shen. Framelets: MRA-based constructions of wavelet frames. Applied Comput. Harmonic Anal. 14:1–46, 2003.
R. A. DeVore and G. G. Lorentz. Constructive Approximation. Springer, Berlin, 1993.
T. Lyche, K. Mørken, and E. Quak. Theory and algorithms for nonuniform spline wavelets. In “ Multivariate Approximation and Applications”, N. Dyn, D. Leviatan, D. Levin and A. Pinkus (eds.), Cambridge University Press, pages 152–187, 2001.
Y. Meyer. Ondelettes et Opérateurs: II. Opérateurs de Calderón Zygmund. Hermann et Cie, Paris, 1990.
R. M. Young. An Introduction to Nonharmonic Fourier Series. Academic Press, San Diego, 2001.
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Beutel, L. (2005). Nonstationary Sibling Wavelet Frames on Bounded Intervals: the Duality Relation. In: Dodgson, N.A., Floater, M.S., Sabin, M.A. (eds) Advances in Multiresolution for Geometric Modelling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26808-1_22
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DOI: https://doi.org/10.1007/3-540-26808-1_22
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