""An Introduction to Abstract Harmonic Analysis"" is a book written by Lynn H. Loomis, published under the University Series in Higher Mathematics. This book provides a comprehensive introduction to the field of abstract harmonic analysis, which is the study of the properties of functions on groups and their representations. The book begins by introducing the basic concepts of group theory and functional analysis, which are essential to understanding the subject matter. It then moves on to discuss the theory of harmonic ...
Read More
""An Introduction to Abstract Harmonic Analysis"" is a book written by Lynn H. Loomis, published under the University Series in Higher Mathematics. This book provides a comprehensive introduction to the field of abstract harmonic analysis, which is the study of the properties of functions on groups and their representations. The book begins by introducing the basic concepts of group theory and functional analysis, which are essential to understanding the subject matter. It then moves on to discuss the theory of harmonic analysis, including Fourier series and Fourier transforms. The book also covers topics such as the Plancherel theorem and the theory of representations of compact groups.Throughout the book, Loomis provides numerous examples and exercises to help readers understand the material. The book is written in a clear and concise style, making it accessible to both students and researchers in mathematics and related fields.Overall, ""An Introduction to Abstract Harmonic Analysis"" is an essential resource for anyone interested in the study of functions on groups and their representations. It provides a solid foundation in the subject matter and is an excellent starting point for further study and research.Additional Editors Are John Von Neumann, Hassler Whitney, And Oscar Zariski.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.
Read Less
