Generalized wavelet decompositions of bivariate functions
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- by Charles K. Chui and Xin Li PDF
- Proc. Amer. Math. Soc. 121 (1994), 125-131 Request permission
Abstract:
The objective of this paper is to introduce an integral transform of wavelet-type on ${L^2}({R^2})$ that can be applied to decompose the space ${L^2}({R^2})$ into a direct sum of subspaces, each of which is identified as ${L^2}(R)$. Projections from ${L^2}({R^2})$ onto these subspaces are also discussed. Moreover, wavelet expansions for functions in ${L^2}({R^2})$ are derived in terms of wavelet bases of ${L^2}(R)$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 125-131
- MSC: Primary 42C15; Secondary 44A15
- DOI: https://doi.org/10.1090/S0002-9939-1994-1182698-3
- MathSciNet review: 1182698