What is convolution, how does it relate to inner product?
Oct 25, 2022 · My final question is: what is the intuition behind convolution? what is its relation with the inner product? I would appreciate it if you include the examples I gave above and correct me if I am …
definition - What is Convolution? - Mathematics Stack Exchange
Sep 6, 2015 · 3 The definition of convolution is known as the integral of the product of two functions $$ (f*g) (t)\int_ {-\infty}^ {\infty} f (t -\tau)g (\tau)\,\mathrm d\tau$$ But what does the product of the …
Meaning of convolution? - Mathematics Stack Exchange
Oct 26, 2010 · I am currently learning about the concept of convolution between two functions in my university course. The course notes are vague about what convolution is, so I was wondering if …
What is the convolution of a function $f$ with a delta function $\delta$?
Sep 12, 2024 · I am merely looking for the result of the convolution of a function and a delta function. I know there is some sort of identity but I can't seem to find it. $\int_ {-\infty}^ {\infty} f (u-x)\delta...
Proving commutativity of convolution $ (f \ast g) (x) = (g \ast f) (x)$
But we can still find valid Laplace transforms of f (t) = t and g (t) = (t^2). If we multiply their Laplace transforms, and then inverse Laplace transform the result, shouldn't the result be a convolution of f …
real analysis - On the closedness of $L^2$ under convolution ...
Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on $L^2$, all we need find is an $L^2$ …
analysis - History of convolution - Mathematics Stack Exchange
Jul 4, 2015 · It the operation convolution (I think) in analysis (perhaps, in other branch of mathematics as well) is like one of the most useful operation (perhaps after the four fundamental operations addition, …
Definition of convolution? - Mathematics Stack Exchange
I am aware that such "series" would never converge (in the traditional sense) unless they were countably supported, but oddly enough this helps me understand the definition for (continuous) …
Convolution of triangular function with itself
It might be worthwhile asking the moderators to migrate this question to dsp.SE. With regard to your question about the limits on the integral for calculating convolutions, there is not a single integral that …
fourier analysis - Convolution of a box function with itself ...
Convolution of a box function with itself Ask Question Asked 10 years, 9 months ago Modified 4 months ago