Some p-Adic Aspects of Superanalysis

TL;DR

This paper reviews superanalysis over real and p-adic superspaces, introduces adelic superspace, and initiates adelic superanalysis combining real and p-adic cases.

Contribution

It presents the concept of adelic superspace and begins the development of adelic superanalysis integrating real and p-adic superanalysis.

Findings

Introduction of adelic superspace

Initiation of adelic superanalysis

Unified framework for real and p-adic superanalysis

Abstract

A brief review of a superanalysis over real and $p$-adic superspaces is presented. Adelic superspace is introduced and an adelic superanalysis, which contains real and $p$-adic superanalysis, is initiated.