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1. Fourier Series And Integrals, Filtering And Sampling. 2. Fourier Series. 3. Fourier Integrals. 4. Filtering And Sampling. 5. Wavelets In The Work Of Lusin And Calderon -- 2. Multiresolution Approximations Of L[superscript 2](r[superscript N]). 2. Multiresolution Approximation: Definition And Examples. 3. Riesz Bases And Orthonormal Bases. 4. Regularity Of The Function [phi]. 5. Bernstein's Inequalities. 6. A Remarkable Identity Satisfied By The Operator E[subscript J]. 7. Effectiveness Of A Multiresolution Approximation. 8. The Operators [actual Symbol Not Reproducible]. 9. Besov Spaces. 10. The Operators E[subscript J] And Pseudo-differential Operators. 11. Multiresolution Approximations And Finite Elements. 12. Example: The Littlewood-paley Multiresolution Approximation. 3. Orthonormal Wavelet Bases. 2. The Construction Of Wavelets In Dimension 1. 3. Construction Of Wavelets In Dimension 2 By The Tensor Product Method. 4. The Algorithm For Constructing Multi-dimensional Wavelets. 5. Computing Two-dimensional Wavelets. 6. The General Existence Theorem For Wavelet Bases. 7. Cancellation Of Wavelets. 8. Wavelets With Compact Support. 9. Wavelets With Compact Support In Higher Dim

Author

Yves Meyer

Publisher

Cambridge ; New York: Cambridge University Press

Published

1992

Language

EN

ISBN

9780521458696

Subjects

Mathematics, Stem