On the existence of a compactly supported $L^{p}$-solution for two-dimensional two-scale dilation equations

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Title

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Institute of Mathematics, Warsaw University, Białystok Branch, Akademicka 2, 15-267 Białystok, Poland

Necessary and sufficient conditions for the existence of compactly supported

L^{p}

-solutions for the two-dimensional two-scale dilation equations are given.

dilation equation, compactly supported

L^{p}

scaling function

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