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| Contributor Affiliations | |
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| Preface: Christopher Heil | |
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| Acknowledgments | |
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| Foreword: Ingrid Daubechies | |
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| Introduction | |
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| Precursors in Signal Processing Introduction: Jelena Kovaceviacute;c | |
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| The Laplacian pyramid as a compact image code, IEEE Trans. Commun., 31 (1983), 532-540. | |
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| Digital coding of speech in sub-bands, Bell System Technical J., 55 (1976), 1069-1085. | |
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| Application of quadrature mirror filters to split-band voice coding schemes, ICASSP'77, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 2, April 1977, 191-195.D. | |
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| A procedure for designing exact reconstruction filter banks for tree-structured subband coders, ICASSP'84, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 9, March 1984, 421-424. | |
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| Filters for distortion-free two-band multirate filter banks, IEEE Trans. Acoust., Speech, and Signal Proc., 33 (1985), 626-630. | |
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| Filter banks allowing perfect reconstruction, Signal Processing, 10 (1986), 219-244. | |
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| Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property, IEEE Trans. Acoust., Speech, and Signal Proc., 35 (1987), 476-492. | |
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| Precursors in Physics: Affine Coherent States Introduction: Jean-Pierre Antoine | |
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| Continuous representation theory using the affine group, J. Math. Physics, 10 (1969), 2267-2275. | |
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| Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J. Math. Anal., 15 (1984), 723-736. | |
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| Transforms associated to square integrable group representations I, J. Math. Physics, 26 (1985), 2473-2479.cA. Grossmann, J. Morlet | |
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| Precursors in Mathematics: Early Wavelet Bases Introduction | |
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| Theorie der orthogonalen Funktionensysteme [On the theory of orthogonal function systems], Mathematische Annalen, 69 (1910), 331-371. Translated by Georg Zimmermann. | |
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| A set of continuous orthogonal functions, Mathematische Annalen, 100 (1928), 522-529. | |
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| A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces, Conf. on Harmonic Analysis in Honor of | |
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| Principe d'incertitude, bases hilbertiennes et algebres d'operateurs [Uncertainty principle, Hilbert bases, and algebras of operators], Seminaire Bourbaki, 1985/86. Asterisque No. 145-146 (1987), 209-223. Translated by John Horvath. | |
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| Ondelettes et bases hilbertiennes [Wavelets and Hilbert bases], Revista Matematica Iberoamericana, 2 (1986), 1-18. Translated by John Horvath. | |
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| Guy Battle, A block spin construction of ondelettes I, Comm. Math. Physics, 110 (1987), 601-615. | |
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| Precursors and Development in Mathematics: Atom and Frame Decompositions Introduction: Yves Meyer | |
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| A class of nonharmonic Fourier series, Trans. Amer. Math. Soc., 72 (1952), 341-365. | |
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| Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc., 83 (1977), 569-645. | |
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| Ingrid Daubechies, A. Grossmann | |
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| Decompositions of Besov spaces, Indiana Univ. Math. J., 34 (1985), 777-799 | |
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