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We develop an exact wavelet transform on the three-dimensional ball (i.e.
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P. Vielva, E. Martínez-González, and M. Tucci, “Cross-correlation of the cosmic microwave background and radio galaxies in real, harmonic and wavelet spaces: detection of the integrated Sachs-Wolfe effect and dark energy constraints,” Mon. Not. Roy. Astron. Soc. , vol. 365, pp. 891–901, Jan. 2006
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F. J. Simons, I. Loris, E. Brevdo, and I. C. Daubechies, “Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion,” in Wavelets and Sparsity XIV , M. Papadakis, D. Van de Ville, and V. K. Goyal, Eds., vol. 81380, SPIE. SPIE, 2011, p. 81380X
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S. Basak and J. Delabrouille, “A needlet internal linear combination analysis of WMAP 7-year data: estimation of CMB temperature map and power spectrum,” Mon. Not. Roy. Astron. Soc. , vol. 419, pp. 1163–1175, Jan. 2012
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