ON SOLUTIONS OF TWO-SCALE DIFFERENCE EQUATIONS

Citation:

Wang Jianzhong.ON SOLUTIONS OF TWO-SCALE DIFFERENCE EQUATIONS[J].Chinese Annals of Mathematics B,1994,15(1):23~34
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Authors:

Wang Jianzhong;

Foundation:

Project supported by the National Natural Science Foundation of China
Abstract: This paper is comcerned with solution of the following two-scale difference equations:$f(x)=\sum_{n=0}^Na_nf(2x-n)$. The conditions for the solvability and the iteractive solvability of this kind of equations in certain spaces are obtained respectively.

Keywords:

Two-scale difference equations, Iterative solutions, Wavelet analysis.

Classification:

41A15,41A05,41A30
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