Abstract
In this chapter, characterizations of function spaces: the Lebesgue spaces \(L^p(\mathbb R), ~1< p < \infty \), the Hardy space \(\mathscr{{H}}^1(\mathbb R)\), and the Sobolev space \(L^{p, s}(\mathbb R),~1< p < \infty , ~s \in \mathbb Z\) by using wavelet packets are given.
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Ahmad, K., Abdullah (2018). Function Spaces and Wavelet Packets. In: Wavelet Packets and Their Statistical Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0268-8_4
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DOI: https://doi.org/10.1007/978-981-13-0268-8_4
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0267-1
Online ISBN: 978-981-13-0268-8
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