Why are different operations in mathematics referred to as …
Nov 27, 2024 · Convolution appears in many mathematical contexts, such as signal processing, probability, and harmonic analysis. Each context seems to involve slightly different formulas …
What is the Fourier transform of the product of two functions?
Transforms such as Fourier transform or Laplace transform, takes a product of two functions to the convolution of the integral transforms, and vice versa. This is called the Convolution …
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 …
How to "easily" calculate the limits and sections of convolution …
Dec 14, 2024 · 0 We started recently talking in my signal processing class about the convolution integral, and in theory, it sounds easy enough but now after a few exercises I realize I either …
convolution - Gaussian smoothing kernel with different sigma …
On the other hand, maybe you want to convolve with a mixture of gaussians (i.e. a linear combination of Gaussians) with different sigmas? If that's the case, by linearity of convolution …
Density of sum of two independent uniform random variables on …
1 The purpose of this answer is to show how a direct application of convolution may lead to the desired result. I take the following results from Cohn, Measure Theory. Definition of …
Convolution in $L^p$ spaces - Mathematics Stack Exchange
Dec 4, 2024 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …
convolution of probability measures - Mathematics Stack Exchange
Aug 25, 2015 · What do we mean by convolution of measures? With example What is the difference between convolution of measures and convolution of functions? What is probability …
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 …
calculus - Convolution - Heaviside - Mathematics Stack Exchange
Jul 10, 2020 · Explore related questions calculus laplace-transform convolution See similar questions with these tags.