Wavelets in Sobolev space over local fields of positive characteristics
Ashish Pathak, Guru P. Singh · International Journal of Wavelets Multiresolution and Information Processing · 2018
The Sobolev space over local fields [Formula: see text] is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these space are constructed and an example is also presented.