### Two-Dimensional Wavelet with Matrix Dilation M = 2I and its Application in Solving Integral Equations.

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**Authors:**M. TAHAMI AND A. A. HEMMAT

**DOI:**10.46793/KgJMat2204.649T

**Abstract:**

In this study, using a one-dimensionl MRA we constructed a two-dimensional wavelet as well as four masks which are not related to the MRA. Finally, we provide some examples to prove the applicability of our construction in case of ﬁnding numerical solution of two-dimensional ﬁrst kind Fredholm integral equations.

**Keywords:**

Wavelet with matrix dilation, multiresolution analysis, integral equation.

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