Abstract
In the first section of this chapter, we introduce the fundamental concepts of wavelet functions and wavelet constructions, but in a form which stresses scale-similarity. This scale-similarity is a special case of a more general notion of self-similarity. We will later see that the more general idea of self-similarity is needed for our understanding of fractals and symbolic dynamics.
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© 2006 Springer Science+Business Media, LLC
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(2006). Introduction: Measures on path space. In: Analysis and Probability Wavelets, Signals, Fractals. Graduate Texts in Mathematics, vol 234. Springer, New York, NY. https://doi.org/10.1007/978-0-387-33082-2_1
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DOI: https://doi.org/10.1007/978-0-387-33082-2_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-29519-0
Online ISBN: 978-0-387-33082-2
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