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Licensed Unlicensed Requires Authentication Published by De Gruyter August 1, 2012

Joint dilation scaling sets on the reducing subspaces

  • Niraj K. Shukla EMAIL logo and Rajeshwari Dubey

Abstract.

In this paper, we study joint dilation scaling sets, MSF multiwavelets and non-MSF multiwavelets for reducing subspaces of . We characterize scaling sets having three-intervals by dilations 2 and , and discuss joint dilation wavelet sets obtained from these joint dilation scaling sets and also from generalized Journé wavelet sets. Further, we provide a method to obtain joint dilation scaling sets in higher dimensions through scaling sets of lower dimensions and hence obtain multiwavelet sets by dilations A and B.

Received: 2012-03-20
Accepted: 2012-06-21
Published Online: 2012-08-01
Published in Print: 2012-08-01

© 2012 by Walter de Gruyter Berlin Boston

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