Biorthogonal Wavelet on a Logarithm Curve â„‚

Xiaohui Zhou, Gang Wang and Basil K. Papadopoulos

Journal of Mathematics, 2021, vol. 2021, 1-14

Abstract: According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equation and symmetry. Moreover, an example is given for discussing the biorthogonal scaling function and its dual on a logarithm curve C. Finally, a numerical application is given for dealing with financial data.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7985069

DOI: 10.1155/2021/7985069

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