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Dec 22, 2017 at 10:29 comment added Albert Retey @riddleculous: You might want to wait a bit before accepting my answer, there are probably other interesting answers. Just in case you are not aware of it: #& is only a shortcut for Function[#] (which is again a special case for Function[x,x]). If you look at the FullForm you will see that the two are internally the same thing.
Dec 22, 2017 at 10:24 comment added riddleculous Thanks for the explanation about Function. Inside the module (good point!), one can also use the shorthand ac1[f_] := Evaluate[Convolve[f[tau], f[tau], tau, #]] &, but I didn't manage to get the correct behaviour when trying around. Calling Function makes the behaviour more obvious.
Dec 22, 2017 at 10:20 vote accept riddleculous
Dec 22, 2017 at 9:57 history answered Albert Retey CC BY-SA 3.0