Demi-linear Analysis III -- Demi-distributions with Compact Support

TL;DR

This paper explores demi-distributions with compact support, extending classical distribution theory and providing detailed quantitative analysis of this broader family of generalized functions.

Contribution

It introduces and analyzes demi-distributions with compact support, significantly expanding the scope of distribution theory.

Findings

Established comprehensive quantitative properties of demi-distributions

Extended classical distribution framework to include demi-distributions

Provided new tools for analyzing generalized functions with compact support

Abstract

A series of detailed quantitative results is established for the family of demi-distributions which is a large extension of the family of usual distributions.