Definition: In mathematics, convolusion is a fundamental concept in algebra and functional analysis. It refers to the convolution of two functions f(x) and g(x), which are defined as:
f
g = ∫_a^b f(x)g(x) dx
where a < b is an interval on the real line.
The convolution can be used to study properties of functions, such as their derivatives or integrals. It also has applications in signal processing, where it arises in the context of
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