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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 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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