Paper Details
| Title | Generalized Functions and Distribution |
|---|---|
| Author | Mariyam Kazmi, Chinta Mani Tiwari |
| Abstract | Generalized functions, also known as distributions, provide a powerful mathematical framework for dealing with objects that do not fit into the traditional notion of functions. Generalized functions is defined as linear functionals acting on a space of test functions. The linearity property of generalized functions is emphasized, showcasing their ability to handle superposition of values. Continuity is discussed as another important property of generalized functions. The concept of convolution of distributions enables the combination of the effects of two distributions through an integral operation. Applications of generalized functions are in various fields of mathematics and physics. |
| Keywords | Generalized Functions, Neutrix Product, Dirac Delta Function; |
| Page Number | 1-6 |
| DOI |
View DOI DOI: 10.33804/IJSRI.2021.01.01., |
| Date of Publication | 2023-05-29 |
| Download | Download |