非线性动力学中的小波构造
Wavelet constructions in non-linear dynamics
摘要：
构造了一类非线性动力系统X的希尔伯特空间。这些系统源于广义自相似性和迭代替换。本文证明了当X上的一个权函数W给定时，可以构造具有小波基的L^2-鞅的相伴希尔伯特空间H（W）.
英文摘要：
We construct certain Hilbert spaces associated with a class of non-linear dynamical systems X. These are systems which arise from a generalized self-similarity, and an iterated substitution. We show that when a weight function W on X is given, then we may construct associated Hilbert spaces H(W) of L^2-martingales which have wavelet bases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
