Non-Haar \(p\)-adic wavelets and pseudodifferential operators
The paper is a brief exposition of the authors' construction of new orthogonal wavelet bases in \(L^2(\mathbb Q_p)\) consisting of eigenfunctions of pseudo-differential operators of fractional type. For further details, see [\textit{A. Yu. Khrennikov, V. M. Shelkovich}, Appl. Comput. Harmon. Anal. 28, No. 1, 1--23 (2010; Zbl 1184.46066); \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 3, 204--216 (2009; Zbl 1187.42034)].
scientific article; zbMATH DE number 5485365
scientific article