Abstract
Since every orthonormal wavelet, and every semiorthogonal Parseval wavelet, has an associated GMRA, each also has an associated multiplicity function. In this chapter, we explore the use of the multiplicity function as a tool to analyze and build wavelets, and see how it is related to classical tools such as the dimension function.
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Merrill, K.D. (2018). The Multiplicity Function. In: Generalized Multiresolution Analyses. Applied and Numerical Harmonic Analysis(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99175-7_3
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DOI: https://doi.org/10.1007/978-3-319-99175-7_3
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