Generalized Functions

This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject. Key new topics and important features:- Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts- Enhanced presentation of the Schroedinger, Klein-Gordon, Helmholtz, heat and wave equations- Exposition driven by additional examples and exercises - Comprehensive bibliography and index- Prerequisites: advanced calculus, ordinary and partial differential equations