L_c~p-solution of the Matrix Refinement Equation

Liu Chun-tai · Journal of Hubei Institute for Nationalities · 2005

In this paper, we discuss some characterization for the general extended matrix refinement equations and obtain the sufficient and necessary conditions of which L~p_c-solution exists. The basic technique here is to construct Tiling on Tile which gets over the difficulties in usual methods such as Fourier method and iteration method according to iterated function system of fractal and it has developed the general theorem for the study of the matrix erfinement equations.

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