The Mathematical Structure of the Space of Test Functions

Date

2025-12

Type

Article

Journal title

مجلة القلم للعلوم الطبية والتطبيقية

Issue

Vol. 8 No. 4

Author(s)

Thuraya Rkhayes
Zohra Farnana

Abstract

The aim of this paper is to provide a simple and clear presentation of the mathematical structure of the space of test functions, highlighting the essential definitions, illustrative examples, and construction methods using the concept of convolution. These functions form the foundation of distribution theory and weak derivatives.