Natural Logarithm of Convolution

1. Jan 28, 2012

tramar

If I have a convolution of two variables, say x * y, and I take the natural logarithm of this operation, ln(x*y), do the same properties of logarithms apply?

So, does ln(x*y) = ln(x)+ln(y) ?

2. Jan 28, 2012

mathman

In your notation, what are x, y, x*y and ln? Usually ln(x) is the natural log of a number (x).

3. Jan 28, 2012

LCKurtz

I'm afraid your question doesn't make any sense as stated. The convolution operation is an operation on two functions, not two variables, and it gives another function. And if you ask the same question for functions, the answer is no.

Last edited: Jan 28, 2012
4. Jan 28, 2012

tramar

I realize that now since a convolution is an integral... just wishful thinking on my part I guess.