Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions

摘要

The main aim of the present article is to provide a characteristic description of non-stationary orthonormal wavelets related to Walsh functions under some asymptotic conditions. We also provide the non-stationary multiresolution analysis and wavelets associated with non-stationary multiresolution analysis on the positive half-line. Further, we give a characterization of wavelets associated with such non-stationary multiresolution analysis on the positive half-line. Further, we give an example in support of our main result.