The Mathematical Structure of the Space of Test Functions

Zohra Farnana; Thuraya Rkhayes

doi:10.54361/ajmas.2584112

The Mathematical Structure of the Space of Test Functions

Authors

Zohra Farnana Department of Mathematics, Faculty of Education, University of Tripoli, Tripoli, Libya https://orcid.org/0009-0000-4330-0714
Thuraya Rkhayes Department of Mathematics, Faculty of Education, University of Tripoli, Tripoli, Libya https://orcid.org/0009-0000-8142-9578

DOI:

https://doi.org/10.54361/ajmas.2584112

Keywords:

Test Functions, Generalized Functions, Distribution Theory, Weak Derivatives

Abstract

This paper aims 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.

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Published

2025-12-19

How to Cite

Zohra Farnana, Thuraya Rkhayes. The Mathematical Structure of the Space of Test Functions. Alq J Med App Sci [Internet]. 2025 Dec. 19 [cited 2025 Dec. 20];:2863-9. Available from: https://journal.utripoli.edu.ly/index.php/Alqalam/article/view/1277