Scholarly Article
The Mathematical Structure of the Space of Test Functions
Zohra Farnana, Thuraya Rkhayes
2025-12-19 · AlQalam Journal of Medical and Applied Sciences · University of Tripoli Alahlia
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.
Keywords
Test Functions, Generalized Functions, Distribution Theory, Weak Derivatives
Citation Details
AlQalam Journal of Medical and Applied Sciences, Vol. 8, No. 4, pp. 2863-2869