The boundary of the ordinary open string world sheet is the real line. Along with the usual
open string, one can consider p-adic open strings whose world sheet has as boundary the p …

This book offers a modern exposition of the arithmetical properties of local fields using
explicit and constructive tools and methods. It has been ten years since the publication of the …

A'Galois quantum system'in which the position and momentum take values in the Galois field
GF (p ℓ) is considered. It is comprised of ℓ-component systems which are coupled in a …

F f (x) ν (x)| x| sd× x, where f is an element of the Schwartz space S (F) on a local field F, and
ν is a character of F×. Weil [35] defined a representation ω= ωψ of the metaplectic group SL …

Melonic field theories are defined over the p-adic numbers with the help of a sign character.
Our construction works over the reals as well as the p-adics, and it includes the fermionic …

Within the framework of quantum mechanics over a quadratic extension of the non-
Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a …

We investigate pseudodifferential operators on arbitrary locally compact abelian groups. As
symbol classes for the Kohn-Nirenberg calculus we introduce a version of Sjöstrand's class …

We survey recent advances in the study of regular motions over p-adic fields, show its varied
connections with dynamics and number theory, and illustrate its significance to an important …

We provide a general expression of the Haar measure—that is, the essentially unique
translation-invariant measure—on a p-adic Lie group. We then argue that this measure can …

We propose a model of a quantum N-dimensional system (quNit) based on a quadratic
extension of the non-Archimedean field of p-adic numbers. As in the standard complex …