Integral Transformations, Operational Calculus, and Generalized Functions

Various related ideas are explored in this introductory survey text of integral transformations, operational calculus and generalized functions. The laplace transformation serves as a model for the developments of the operational properties of several other transformations. Further, it provides a connection to the Mikusinski calculus and generalized functions. The development of the Fourier transformation is followed by a different treatment of generalized functions (distributions). These introductions to generalized functions parallel the constructive approaches to the rational and real number systems.