Web Reference: It is called the delta function because it is a continuous analogue of the Kronecker delta function. The mathematical rigor of the delta function was disputed until Laurent Schwartz developed the theory of distributions, where it is defined as a linear form acting on functions. Sep 4, 2024 · In the last section we introduced the Dirac delta function, δ (x). As noted above, this is one example of what is known as a generalized function, or a distribution. Dirac had introduced this function in the 1930 s in his study of quantum mechanics as a useful tool. It states that the system is entirely characterized by its response to an impulse function δ(t), in the sense that the forced response to any arbitrary input u(t) may be computed from knowledge of the impulse response alone.
YouTube Excerpt: In this introduction to the Dirac
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