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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 …

Historically, the theory of Hilbert spaces originated from David Hilbert's (1862–1943) work
on quadratic forms in infinitely many variables with their applications to integral equations …

" 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 …

Let G be a locally compact abelian group with compact open subgroup H. The best known
example of such a group is G= ℚ p, the field of padic rational numbers (as a group under …

In the paper, authors report on the interdisciplinary and extremely complex link between
wavelets and stochastic processes. An insight into the history of wavelets has been provided …

This book provides an overview of the theory of p-adic (and more general non-
Archimedean) dynamical systems. The main part of the book is devoted to discrete …

In this article, we establish theory of Parseval framelets associated to generalized
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …

The main goal of this paper is the development of the MRA theory in L2 (Qp). We described
a wide class of p-adic refinement equations generating p-adic multiresolution analyses. A …

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 …