Non-Haar $p$-adic wavelets and their application to pseudo-differential operators and equations

A. Yu. Khrennikov, V. M. Shelkovich

In this paper a countable family of new compactly supported {\em non-Haar} $p$-adic wavelet bases in ${\cL}^2(\bQ_p^n)$ is constructed. We use the wavelet bases in the following ap…