Abstract
The N-th order Daubechies wavelet is obtained with the spectral decomposition method from modulus of associated low-pass filters M(ξ)=|m 0(ξ)|2. Meanwhile, we can denote M(ξ) with the integration. In this paper, we focus on integrands and construct some wavelets by changing them. Moreover, we construct some kind of fractional order wavelets and give regularity estimates of them.
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Fukuda, N., Kinoshita, T. (2015). On the Interpolation of Orthonormal Wavelets with Compact Support. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_51
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DOI: https://doi.org/10.1007/978-3-319-12577-0_51
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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