Sep 6, 2015 · The definition of convolution is known as the integral of the product of two functions

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 could giv...

Aug 2, 2023 · This expression differs from the common definition of convolution. I'm having trouble understanding why we utilize the conventional definition of convolution in cases like these.

A shift-invariant linear operator T T is completely determined by its impulse response T(δ) = f T (δ) = f (where δ δ is the Dirac delta function). You can show that for any function g g, T(g) = f ∗ g T (g) = f ∗ …

I'm having a hard time understanding how the convolution integral works (for Laplace transforms of two functions multiplied together) and was hoping someone could clear the topic up or link to sour...

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 …

Jan 7, 2026 · The convolution of a function with itself equals itself Ask Question Asked 13 years, 4 months ago Modified 6 days ago

Questions on the (continuous or discrete) convolution of two functions. It can also be used for questions about convolution of distributions (in the Schwartz's sense) or measures.

Dec 27, 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 …

Dec 23, 2014 · Convolution is defined as an integral over the whole space. The second "type" of convolution sometimes appear in the theory of differential equations. For instance, it appears in the …