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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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


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
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 125-131
  • MSC: Primary 42C15; Secondary 44A15
  • DOI:
  • MathSciNet review: 1182698