Logarithmic convolution: Difference between revisions

Revision as of 01:43, 14 May 2012

Revision as of 03:48, 13 September 2012

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{{Multiple issues|wikify = September 2012|dead end = September 2012|unreferenced = October 2010}}

{{unreferenced|date=October 2010}}

The '''scale convolution''' of two functions <math>s(t)</math> and <math>r(t)</math>, also known as their '''logarithmic convolution''' is defined as the function<br>dodo

:<math> s *_l r(t) = r *_l s(t) = \int_0^\infty s\left(\frac{t}{a}\right)r(a) \frac{da}{a}</math>

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:<math> s *_l r(v) = f * g(v) = g * f(v) = r *_l s(v).\, </math>

{{PlanetMath attribution|id=5995|title=logarithmic convolution}}

[[Category:Logarithms]]