The Mathematical Structure of the Space of Test Functions

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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Publication Details

Journal
AlQalam Journal of Medical and Applied Sciences
Published
2025-12-18
DOI
https://doi.org/10.54361/ajmas.2584112
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

The Mathematical Structure of the Space of Test Functions

Zohra Farnana, Thuraya Rkhayes
AlQalam Journal of Medical and Applied Sciences
Statistical Distribution Estimation and Applications
article

The Mathematical Structure of the Space of Test Functions

Zohra Farnana, Thuraya Rkhayes
article en

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.

AlQalam Journal of Medical and Applied Sciences
University of Tripoli (LY)
Reduced inequalities
Openalex Percentile: Top 24%
Statistical Distribution Estimation and Applications
DOIOpen Access PDFOpenAlex
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The Mathematical Structure of the Space of Test Functions — Zohra Farnana, Thuraya Rkhayes · AlQalam Journal of Medical and Applied Sciences (2025) | TGRS Research Map | TGRS