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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Format: | Article |
Language: | English |
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Yaroslavl State University
2017-08-01
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Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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Online Access: | https://www.mais-journal.ru/jour/article/view/538 |