Operational Calculus and Generalized Functions (Dover Books on Mathematics)

This brief monograph by a distinguished professor is based on a mathematics course offered at the California Institute of Technology. The majority of students taking this course were advanced undergraduates and graduate students of engineering. A solid background in advanced calculus is a prerequisite.
Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, and exponential functions of operators. Tools developed in the preceding chapters are then applied to problems in partial differential equations. Solutions to selected problems appear at the end of the book.

Hungarian-born Arthur Erdelyi (1908–77) taught primarily at the University of Edinburgh and from 1949 to 1964 at the California Institute of Technology, where he attained prominence in the American mathematics community.