The Expansion of Self-similar Functions in the Faber–Schauder System

Let \(\Omega = A^{N}\) be a space of right-sided innite sequences drawn from a nite alphabet \(A = \{0,1\}\), \(N = \{1,2,\dots\}\). Let $$\label{rho} \rho(\boldsymbol{x},\boldsymbol{y}) =\sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k}$$- be a metric on \(\Omega = A^{N}\), and \(\mu\) - the Bernoulli measu...

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Bibliographic Details
Main Author: Evgeniy A. Timofeev
Format: Article
Language:English
Published: Yaroslavl State University 2017-08-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/538