A convolution equation - MathOverflow most recent 30 from http://mathoverflow.net2013-06-19T11:54:08Zhttp://mathoverflow.net/feeds/question/86998http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/86998/a-convolution-equationA convolution equationmostafa2012-01-30T00:25:55Z2012-01-30T00:25:55Z
<p>Given a rapidly decreasing function f in the euclidean space \R^d, is there a measure \mu solution of the convolution equation exp(-||z||^2/2)*\mu=f?</p>
<p>Here ||z|| stands for the euclidean norm and exp the usual exponential function.</p>
<p>Thanks in advance. </p>