**Graduate Studies in Mathematics**

Volume: 150;
2013;
320 pp;
Hardcover

MSC: Primary 28;

Print ISBN: 978-1-4704-0935-7

Product Code: GSM/150

List Price: $65.00

Individual Member Price: $52.00

**Electronic ISBN: 978-1-4704-1411-5
Product Code: GSM/150.E**

List Price: $65.00

Individual Member Price: $52.00

#### You may also like

#### Supplemental Materials

# The Joys of Haar Measure

Share this page
*Joe Diestel; Angela Spalsbury*

#### Readership

Graduate students and research mathematicians interested in measure theory, harmonic analysis, representation theory, and topological groups.

#### Reviews & Endorsements

The book under review is a serious adventure in Measure Theory and not for the faint of heart. It is a wonderfully structured guide to some deep exploration of continuous quantity. At the heart of its exposition is the question of what it means to assign lengths, areas, volumes and hyper-volumes to abstract sets sitting somewhere in n-dimensional space.

-- MAA Online

The text under review, as the title suggests, is a somewhat unorthodoxly written exposition of the theory of Haar measure. The joyous manner in which the authors present the material is unique and original, and quite catchy. Under the skillful hands of the authors, the subject, which is already inherently beautiful and elegant, comes to life in a very entertaining fashion. The book is well aimed at the graduate level, both with respect to the level of detail given and with respect to the expected mathematical maturity at that stage. ...The exposition is filled with historical detail and, at times, different mathematical points-of-view, leading to a pleasantly well-rounded understanding of the material and an appreciation of certain aspects of its development. I find the book to be particularly well suited as a self-study book for the motivated student, as well as a supplementary book for any course on the topic.

-- Zentralblatt Math

#### Table of Contents

# Table of Contents

## The Joys of Haar Measure

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface xi12 free
- Lebesgue measure in Euclidean space 116 free
- Measures on metric spaces 2136
- Introduction to topological groups 4762
- Banach and measure 6378
- Compact groups have a Haar measure 113128
- Applications 147162
- Haar measure on locally compact groups 175190
- Metric invariance and Haar measure 223238
- Steinlage on Haar measure 239254
- Oxtoby’s view of Haar measure 271286
- Appendix A 287302
- Appendix B 295310
- Bibliography 309324
- Author index 317332
- Subject index 319334
- Back Cover Back Cover1338