Nonuniform nonstationary wavelets and associated multiresolution analysis on local fields (Q6558209)

The paper introduces a novel concept of nonuniform nonstationary wavelets on local fields, which is a significant advancement in the field of wavelet analysis. This concept extends the applicability of wavelets to more complex and non-uniform signal processing scenarios. The introduction of nonuniform nonstationary wavelets and their associated MRA on local fields sets the stage for further research. It invites exploration into the construction of other types of nonuniform wavelets, their applications, and the development of algorithms. The study opens up new avenues for applications in signal processing, image analysis, and other areas where nonuniform and nonstationary signals are prevalent.