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On vector subdivision

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Abstract.

In this paper we give a complete characterization of the convergence of stationary vector subdivision schemes and the regularity of the associated limit function. These results extend and complete our earlier work on vector subdivision and its use in the construction of multiwavelets.

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Authors and Affiliations

  1. IBM Department of Mathematical Sciences, T.J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA (e-mail: cam@watson.ibm.com) , , , , , , US

    Charles A. Micchelli

  2. Institute of Mathematics, University of Erlangen-Nuremberg, Bismarckstr. 1 1/2, D-91054 Erlangen, Germany (e-mail: sauer@mi.uni-erlangen.de) , , , , , , DE

    Thomas Sauer

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  1. Charles A. Micchelli
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  2. Thomas Sauer
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Received March 19, 1997; in final form November 13, 1997

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Micchelli, C., Sauer, T. On vector subdivision. Math Z 229, 621–674 (1998). https://doi.org/10.1007/PL00004676

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  • DOI: https://doi.org/10.1007/PL00004676

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