Abstract
The article is devoted to dimension functions of orthonormal wavelets on the real line with dyadic dilations. We describe properties of dimension functions and prove several characterization theorems. In addition, we provide a method of construction of dimension functions. Various new examples of dimension functions and orthonormal wavelets are included.
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Arambašic, L., Bakic, D. & Rajic, R. Dimension Functions of Orthonormal Wavelets. J Fourier Anal Appl 13, 331–356 (2007). https://doi.org/10.1007/s00041-006-6091-0
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DOI: https://doi.org/10.1007/s00041-006-6091-0