Convolution Transform Math Book - for Students & Researchers

Hirschman's Convolution Tranform work is here presented in 264 dense pages. Dover is to be complimented for making it available in quite readable form. That said the motivation for the effort is odd. On page 4 we learn that the authors are interested in convolution transforms over the entire real line. These transforms can have odd properties, which in certain applications are inconsistent with causality, and are therefore unusable.A similar problem afflicts the Laplace transform theory as often presented. There the theory is constructed for functions defined on the entire positive real line. Many perfectly respectable endeavors concern functions defined only on finite intervals, a topic neglected for no good reason .