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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Generalized wavelet decompositions of bivariate functions


Authors: Charles K. Chui and Xin Li
Journal: Proc. Amer. Math. Soc. 121 (1994), 125-131
MSC: Primary 42C15; Secondary 44A15
MathSciNet review: 1182698
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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)$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1182698-3
PII: S 0002-9939(1994)1182698-3
Keywords: Decomposition, integral transforms, linear operators, wavelet transforms
Article copyright: © Copyright 1994 American Mathematical Society