
What is the convolution of a function $f$ with a delta function …
Sep 12, 2024 · Explore related questions convolution dirac-delta See similar questions with these tags.
Dirac's Delta function - Mathematics Stack Exchange
Aug 25, 2019 · On Wikipedia, the definition of the dirac delta function is given as: Suppose I have a function where at two points, the function goes to infinity. Given that the distance between …
definition - Is the Dirac Delta "Function" really a function ...
44 I am given to understand that the Dirac delta function is strictly not a function in the conventional sense and it is a "functional or a distribution".
What really is a Dirac delta function? - Physics Stack Exchange
Oct 4, 2015 · Yesterday a friend asked me what a Dirac delta function really is. I tried to explain it but eventually confused myself. It seems that a Dirac delta is defined as a function that …
distribution theory - What is the derivative of the Dirac delta ...
Sep 11, 2020 · The Dirac Delta is simply NOT a function (it is a Generalized Function). And use of an integral operator symbol to represent the functional $\langle \delta,\phi\rangle$ is abuse of …
Dirac Delta Function of a Function - Mathematics Stack Exchange
Using this definition and the fact that the $\delta$-distribution is half of the second derivative of the absolute value function, one can give a rigorous proof of the formula in the query.
calculus - Dirac delta as a limit of sequence of functions ...
Feb 20, 2023 · This should hold by definition of Dirac delta: limit of some sequence of function with property that $ \int_ {-\infty}^\infty \delta (x)\cdot g (x)dx = g (0)$. Checking this definition …
Why does integrating a complex exponential give the delta function?
The answer of @Statics attacks with the argument that "if you think Fourier Transformation is correct, then you should accept this definition of Dirac Delta Function."
lebesgue integral - Is the Dirac delta function $L^1$ integrable ...
The delta function gets introduced in a way that makes it clear that it's quite a different thing---not even a "function" in the sense in which that term is most often used.
Reference for Dirac Delta function as gaussian
Reference for Dirac Delta function as gaussian Ask Question Asked 7 years, 5 months ago Modified 7 years, 5 months ago