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 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 concepts of multiresolution analysis (MRA) and wavelet can be generalized to a local
field of positive characteristic by using a prime element of such a field. An MRA is a …

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 …

In this article we present a new p-adic generalization of the Eigen–Schuster model where
the genomes (sequences) are represented by words written in the alphabet 0, 1,…, p− 1 …

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 …

In this note we study the boundedness of p-adic fractional integral operator with rough
kernels on p-adic Herz spaces. Moreover, we establish Lipschitz estimates for commutators …

We consider representations of Cuntz–Krieger algebras on the Hilbert space of square
integrable functions on the limit set, identified with a Cantor set in the unit interval. We use …

We construct p-adic Euclidean random fields Φ Φ over Q _ p^ NQ p N, for arbitrary N, these
fields are solutions of p-adic stochastic pseudodifferential equations. From a mathematical …

In this article, we provide some fundamental Fourier series principles that are useful for
addressing issues in electronics and communications, as well as the mathematical …