One: Preliminaries -- Section 1. Notationand terminology -- Section 2. Group theory -- Section 3. Topology -- ChapterTwo : Elementsof thetheoryof topological groups -- Section 4. Basic definitions and facts -- Section 5. Subgroups and quotient groups -- Section 6. Product groups and projective limits -- Section 7. Properties of topologicalgroups involving connectedness -- Section 8. Invariant pseudo-metrics and separation axioms -- Section 9. Structure theory for compact and locally compact Abelian groups -- Section 10. Some special locally compact Abelian groups -- Three: Integration on locally compact spaces -- Section 11. Extension of a linear functional and construction of a measure -- Section 12. The spaces Lp(X) (1 ? p ? ?) -- Section 13. Integration on product spaces -- Section 14. Complex measures -- Four: Invariant functionals -- Section 15. The Haar integral -- Section 16. More about Haar measure -- Section 17. Invariant means defined for all bounded functions -- Section 18. Invariant means on almost periodic functions -- Five: Convolutions and group representations -- Section 19. Introduction to convolutions -- Section 20. Convolutions of functions and measures -- Section 21. Introduction to representation theory -- Section 22. Unitary representations of locally compact groups -- Six : Characters and duality of locally compact Abelian groups -- Section 23. The character group of a locally compact Abelian group -- Section 24. The duality theorem -- Section 25. Special structure theorems -- Section 26. Miscellaneous consequences of the duality theorem -- Appendix A: Abelian groups -- B: Topological linear spaces -- C: Introduction to normed algebras -- Index of symbols -- Index of authors and terms

1. Mathematics
2. Group theory
3. Functional analysis
4. Functions of real variables
5. Mathematics
6. Functional Analysis
7. Group Theory and Generalizations
8. Real Functions