Theory of Distributions for Locally Compact Spaces is a mathematical book authored by Leon Ehrenpreis. It is a part of the Memoirs of the American Mathematical Society series and is the 21st book in the series. The book deals with the theory of distributions, which is a branch of mathematics that studies generalized functions. The book focuses on locally compact spaces, which are topological spaces that have certain properties that make them suitable for the study of distributions. The book covers a range of topics, including the definition of distributions, the properties of distributions, and the relationship between distributions and functions. The book is aimed at mathematicians and researchers who are interested in the theory of distributions and its applications in various fields such as physics, engineering, and economics. It is written in a clear and concise style, with numerous examples and exercises to help readers understand the material. Overall, Theory of Distributions for Locally Compact Spaces is an essential reference for anyone interested in the theory of distributions.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.