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Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …

" This is the first book devoted to the theory of p-adic wavelets and pseudo-differential
equations in the framework of distribution theory. This relatively recent theory has become …

We study p-adic multiresolution analyses (MRAs). A complete characterization of test
functions generating an MRA (scaling functions) is given. We prove that only 1-periodic test …

We present a new conceptual approach for modeling of fluid flows in random porous media
based on explicit exploration of the treelike geometry of complex capillary networks. Such …

A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …

Using a prime element of a local field K of positive characteristic, the concepts of
multiresolution analysis (MRA) and wavelets can be generalized to such a field. We prove a …

This research investigates the boundedness of ap-adic fractional integral operator on p-adic
Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations (CM˙ O) and …

We consider a nonlinear evolution equation for complex-valued functions of a real positive
time variable and ap-adic spatial variable. This equation is a non-Archimedean counterpart …

The theory of pseudodifferential operators over the real field (briefly ψDO) is also called the
theory of singular integro-differential operators (see [Ag1, Ag2, Ag3, Ag4]). The theory of …