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Characterization of multiwavelets with different real dilations and translations

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Abstract

A characterization formula of an orthonormal multiwavelet with di_erent real dilations and translations for L 2 E (R) is presented. The result includes the known result on the classical Hardy space H 2(R).

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    B. B. Li

  2. Institute of Applied Mathematics, School of Mathematics and Information Sciences, Henan University, Kaifeng, Henan, 475001, China

    D. F. Li

  3. College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, 410081, China

    X. L. Shi

Authors
  1. B. B. Li
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  2. D. F. Li
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  3. X. L. Shi
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Corresponding author

Correspondence to D. F. Li.

Additional information

Supported by Innovation Scientists and Technicians Troop Construction Projects of Henan Province of China 084100510012 and the Natural Science Foundation for the Education Department of Henan Province of China 2008B510001.

Supported by the Natural Science Foundation of China 10671062.

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Li, B.B., Li, D.F. & Shi, X.L. Characterization of multiwavelets with different real dilations and translations. Acta Math Hung 124, 41–57 (2009). https://doi.org/10.1007/s10474-009-8149-3

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  • DOI: https://doi.org/10.1007/s10474-009-8149-3

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