In mathematics, the convolution power is the n-fold iteration of the convolution with itself. Thus if x {\displaystyle x} is a function on Euclidean space Rd and n {\displaystyle n} is a natural number, then the convolution power is defined by x ∗ n = x ∗ x ∗ x ∗ ⋯ ∗ x ∗ x ⏟ n , x ∗ 0 = δ 0 {\displaystyle x^{*n}=\underbrace {x*x*x*\cdots *x*x} _{n},\quad x^{*0}=\delta _{0}} where ∗ denotes the convolution operation of functions on Rd and δ0 is the Dirac delta distribution.
In mathematics, the convolution power is the n-fold iteration of the convolution with itself. Thus if x {\displaystyle x} is a function on Euclidean space Rd and n {\displaystyle n} is a natural number, then the convolution power is defined by x ∗ n = x ∗ x ∗ x ∗ ⋯ ∗ x ∗ x ⏟ n , x ∗ 0 = δ 0 {\displaystyle x^{*n}=\underbrace {x*x*x*\cdots *x*x} _{n},\quad x^{*0}=\delta _{0}} where ∗ denotes the convolution operation of functions on Rd and δ0 is the Dirac delta distribution.
Source: Wikipedia "Convolution power" · CC BY-SA 4.0
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