Abstract
We would like to describe various versions of “wavelet analysis” valid in a non translation invariant setting. Here the scale is allowed to change at various points in space, as well as the analyzing wavelets. This theory has been developed previously [1] in order to carry over various aspects of Fourier Analysis, such as Littlewood-Paley theory and singular integral operators to various settings, where a group structure is not available.
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References
R.R. Coifman and G. Weiss, Analyse harmonique non, commutative sur certains espaces homogenes, Springer-Verlag 242 (1971).
R.R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569–645.
G. David, J.L. Journé, and S. Semmes, Operateurs de Calderón- Zygmund fonctions para acretives et interpolation, Revista Math Ibero Americana 1 (1985).
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© 1990 Springer-Verlag Berlin Heidelberg
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Coifman, R.R. (1990). Multiresolution Analysis in Non-Homogeneous Media. In: Combes, JM., Grossmann, A., Tchamitchian, P. (eds) Wavelets. inverse problems and theoretical imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75988-8_25
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DOI: https://doi.org/10.1007/978-3-642-75988-8_25
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