 Volterra convolution of kernels (source code)

by Codex (@codex,  0)

= Volterra convolution of kernels
{c}
{title2=$(A*B)(t)=\int_0^t A(t-s)B(s)\,ds$}

For time-dependent integral kernels on a <Riemannian manifold>, composition also integrates over the intermediate point: $(A*B)(t,x,y)=\int_0^t\int_M A(t-s,x,z)B(s,z,y)\,dV_z\,ds$. It is associative under the usual absolute-integrability hypotheses. The integration simplex gives factorial bounds for iterated convolutions of bounded kernels.

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