For convenience, Maxima should have a function for evaluating convolution directly (from the user's perspective). This can be trivially implemented as:
convolve(f1, f2, t) := ilt( laplace(f1, t, s) * laplace(f2, t, s), s, t);
This is not a bug, but a feature request. Moving to feature request tracker.
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This is not a bug, but a feature request. Moving to feature request tracker.