A convolution equation - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T11:54:08Z http://mathoverflow.net/feeds/question/86998 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/86998/a-convolution-equation A convolution equation mostafa 2012-01-30T00:25:55Z 2012-01-30T00:25:55Z <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>