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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 …

In recent years, p-adic analysis (or more generally non-Archimedean analysis) has received
a lot of attention due to its connections with mathematical physics; see, eg,[8–14, 20, 21, 25 …

This work is a further development of an approach to the description of relaxation processes
in complex systems on the basis of the p-adic analysis. We show that three types of …

Using basic properties of p-adic numbers, we consider a simple new approach to describe
main aspects of DNA sequence and the genetic code. In our investigation central role plays …

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 describe a new wavelet transform, for use on hierarchies or binary rooted trees. The
theoretical framework of this approach to data analysis is described. Case studies are used …

A family of orthonormal bases, the ultrametric wavelet bases, is introduced in quadratically
integrable functions spaces for a wide family of ultrametric spaces. A general family of …

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 paper we get the sharp estimates of the p-adic Hardy and Hardy-Littlewood-Pólya
operators on L q (| x| p α dx). Also, we prove that the commutators generated by the p-adic …