
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 …
Meaning of convolution? - Mathematics Stack Exchange
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 anyone …
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.
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 …
Definition of convolution? - Mathematics Stack Exchange
I think this is an intriguing answer. I agree that the algebraic rule for computing the coefficients of the product of two power series and convolution are very similar. Based on your connection, it …
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 …
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 …
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 …
convolution - Solving integral of rectangular function
Jan 5, 2020 · I am learning how to calculate convolution of basic signals, such as rectangular ones. Specifically, the definition of such a signal is: $$ \operatorname {rect}_T (t)= \begin …
fourier analysis - Convolution of a box function with itself ...
Convolution of a box function with itself Ask Question Asked 10 years, 8 months ago Modified 3 months ago