Refinement equations and distributional fixed points

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• 作者：Rafa艂 Kapica¹ ; ^{rkapica@math.us.edu.pl} ; Janusz Morawiec ; ² ; ^{morawiec@math.us.edu.pl}
• 关键词：Refinement equation ; L1-solution ; Fourier transform ; Random affine map ; Distributional fixed point ; Perpetuities
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 April, 2012
• 卷：218
• 期：15
• 页码：7741-7746
• 文件大小：192 K

摘要

Connections between -solutions of the refinement equation of the form and distributional fixed points of a special random affine map are investigated. Using results on convergence of perpetuities the direct form of the Fourier transform of -solutions of the above refinement equation is obtained.