Abstract
The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite:
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© 1998 Springer-Verlag New York, Inc.
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Härdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (1998). The Haar basis wavelet system. In: Wavelets, Approximation, and Statistical Applications. Lecture Notes in Statistics, vol 129. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2222-4_2
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DOI: https://doi.org/10.1007/978-1-4612-2222-4_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98453-7
Online ISBN: 978-1-4612-2222-4
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