Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

Document Type : Research Paper

Authors
1 Xi'an University of Arts and Science
2 Xi'an Jiaotong University
3 The Northwest Secondly National College
Abstract
We present a method for  the construction of compactly
supported $\left (
\begin{array}{lll}
1 & 0 & -1\\
1 & 1 & 0 \\
1 &  0 & 1\\
\end{array}
\right )$-wavelets  under a mild condition. Wavelets inherit the
symmetry of the corresponding scaling function and satisfies the
vanishing moment condition originating in the symbols of the scaling
function. As an application, an  example is  provided.

  • Receive Date 26 August 2012
  • Revise Date 23 May 2010
  • Accept Date 18 August 2010