目录 Prefaces Chapter One: Preliminaries Section 1.Notation and terminology Section 2.Group theory Section 3.Topology Chapter Two: Elements of the theory of topological groups Section 4.Basic definitions and facts Section 5.Subgroups and quotient groups Section 6.Product groups and projectivelimits Section 7.Properties of topological groups involving connectedness Section 8.Invariant pseudo—metrics and separation axioms Section 9.Structure theory for compact and locally compact Abelian groups Section 10.Some speciallocally compact Abelian groups Chapter Three: Integration on locally compact spaces Section 11. Extension of a linear functional and construction of a Jncasure Section 12.Thespaces Section 13.Integration on product spaces Section 14.Complex measures Chapter 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 Chapter 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 locallycompact groups Chapter 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 Bibliography Index of symbols Index of authors and terms'
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