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 …

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 …

Oct 25, 2022 · However, in the original convolution formula, the sign of t t is inversed (what does this sign inversing mean?). My final question is: what is the intuition behind convolution? what is its …

Apr 16, 2016 · You should end up with a new gaussian : take the Fourier tranform of the convolution to get the product of two new gaussians (as the Fourier transform of a gaussian is still a gaussian), then …

Aug 2, 2023 · I am currently studying calculus, but I am stuck with the definition of convolution in terms of constructing the mean of a function. Suppose we have two functions, $f ...

Derivative of convolution Ask Question Asked 13 years, 4 months ago Modified 1 year, 6 months ago

But in general, convolution of functions is almost a ring (there's no exact identity element). The linear space of compactly supported distributions forms an actual ring under convolution, and so it has a …

Feb 23, 2021 · Start asking to get answers Find the answer to your question by asking. Ask question complex-analysis functional-analysis convolution

Dec 26, 2014 · Convolution corresponds via Fourier transform to pointwise multiplication. You can multiply a tempered distribution by a test function and get a tempered distribution, but in general you …

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 $L^2$ …