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 …

Starting from physical motivations and leading to practical applications, this book provides
an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential …

In this article the p-adic Lizorkin spaces of test functions and distributions are introduced.
Multi-dimensional Vladimirov's and Taibleson's fractional operators, and a class of p-adic …

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 …

In this short review we present the basic applications of p-adic numbers: from physics, string
theory and quantum mechanics, to geology, transport in porous disordered media. Opposite …

The notion of p-adic multiresolution analysis (MRA) is introduced. We discuss a “natural”
refinement equation whose solution (a refinable function) is the characteristic function of the …

In the present paper an infinite family of new compactly supported non-Haar p-adic wavelet
bases in L2 (Qpn) is constructed. These bases cannot be constructed in the framework of …

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 …

Fourier and more generally wavelet analysis over the fields of p-adic numbers are widely
used in physics, biology and cognitive science, and recently in geophysics. In this note we …